40
40 recurs as a symbolic period of trial or transition across several religious traditions and gave English the word "quarantine".
- Even
- Composite
Where 40 fits
Why 40 is special
40 is one of the richest cross-cultural numbers precisely because its significance is entirely traditional and textual, not mathematical: 40 days and nights of rain in the Genesis flood narrative, 40 years of wandering in the Exodus narrative, Jesus's 40 days in the wilderness in the Christian Gospels, and the Venetian "quaranta giorni" (forty days) of ship isolation that gave English "quarantine".
Same number, different meanings
How 40 is understood across different contexts — never implying one meaning because of another.
- Mathematics
40 is one of the richest cross-cultural numbers precisely because its significance is entirely traditional and textual, not mathematical: 40 days and nights of rain in the Genesis flood narrative, 40 years of wandering in the Exodus narrative, Jesus's 40 days in the wilderness in the Christian Gospels, and the Venetian "quaranta giorni" (forty days) of ship isolation that gave English "quarantine".
- History
The English word "quarantine" derives from the Venetian "quaranta giorni" (forty days) — the isolation period imposed on ships arriving from plague-affected ports in 14th–15th century Venice.
- Religion & belief
Forty days and forty nights appears in the Genesis flood narrative and recurs across the Hebrew Bible and New Testament for periods of testing or preparation. The repetition is a literary convention of the texts rather than a measured duration.
- Technology & computing
There are 40 channels in the Citizens Band allocation (the United States and much of Europe; other countries differ). The United States allowed 23 until 1977. Channel 19 became the informal road channel and channel 9 the emergency one, neither by regulation in the first instance.
- Science
The distance to Proxima Centauri is about 40 trillion kilometres (the Milky Way). 4.2 light-years. Written in kilometres the number stops meaning anything, which is the argument for the light-year as a unit.
- Culture
Quarantine derives from the Venetian quaranta giorni, the forty days ships were held before landing during plague outbreaks. The practice moved to other intervals long ago while the word kept the original number.
- Sport
Tennis scores 15, 30, 40 rather than 1, 2, 3. The most common explanation is a clock face marking quarters, with 45 shortened in speech to 40; the evidence is circumstantial, and the scoring predates any single documented account of why.
40 is part of
Factors & digit properties
- Divisors (8)
- 1, 2, 4, 5, 8, 10, 20, 40
- Prime factorisation
- 2^3 × 5
- Digit sum
- 4
- Digital root
- 4
Representations
- Decimal
- 40
- Scientific notation
- 4.000 × 10^1
Roman numerals
X L
XL uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 0 1 0 0 0
1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 40
Octal
5 0
5 × 8 + 0 × 1 = 40
Hexadecimal
2 8
2 × 16 + 8 × 1 = 40
Read as powers of two: 32 + 8 = 40.
In historical numeral systems
Egyptian
4 hobbles
4 × 10 = 40. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
4 corner wedges
40 fits in a single sexagesimal place: 4 corner wedges.
Greek (Ionic)
mu, marked as a numeral
mu + keraia
A single letter, mu, marked with a keraia to show it is a number rather than a word.
Hebrew numerals
mem
mem
Chinese numerals
sì shí
sì shí
四 before 十 multiplies it: 4 tens. The written form mirrors the arithmetic — "sì shí". The financial (anti-fraud) form is 肆拾.
Maya
2 dots (upper, twenties place) over shell (zero) (lower, units place)
2 × 20 + 0 = 40. Places stack vertically with the smallest at the bottom, so the upper group is worth twenty times the lower.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Abundant number
- Harshad (Niven) number
Related numbers & connections
20 is a factor of 40 (20 × 2 = 40).
View 20 →Bulgaria and Romania share the Danube border. Bulgarian accession brought Cyrillic into the EU as an official script, which is why euro banknotes carry three alphabets.
View 359 →40 appears in Numbers in space, the topic covering numbers that carry a documented astronomy fact.
Mathematically related
- has factor20
why?
Strength 0.50, confidence "high".
Nearby in a sequence
Numbers Around Us
- appears inSpace and astronomy
why?
Strength 0.50, confidence "high".
- appears inRadio and communications
why?
Strength 0.50, confidence "high".
- appears inCulture and belief
why?
Strength 0.50, confidence "high".
- appears inQuarantine (etymology)
why?
Strength 0.50, confidence "high".
- appears inGenesis flood narrative
why?
Strength 0.50, confidence "high".
History
The English word "quarantine" derives from the Venetian "quaranta giorni" (forty days) — the isolation period imposed on ships arriving from plague-affected ports in 14th–15th century Venice.
DocumentedHistoryGeography: VenicePeriod: 14th–15th century
Religion & belief
Forty days and forty nights appears in the Genesis flood narrative and recurs across the Hebrew Bible and New Testament for periods of testing or preparation. The repetition is a literary convention of the texts rather than a measured duration.
Widely documentedReligion & beliefCulture: Judaism and ChristianityGeography: Jewish and Christian scriptural traditionPeriod: antiquity–In the Hebrew Bible and the New Testament, forty recurs as the length of a period of trial or preparation — the flood, the wilderness years, the fast in the desert. Read by most scholars as a conventional round number for a long but bounded period rather than as an exact count, which is why it recurs across otherwise unrelated narratives. English 'quarantine' descends from the Venetian quaranta giorni by the same logic. This is a scholarly account rather than the tradition's own framing.
DocumentedReligion & beliefCulture: the Hebrew Bible and the New Testament40 days and nights of rain is the duration given for the flood in the Genesis narrative (Hebrew Bible/Old Testament); 40 years of wilderness wandering appears in the Exodus narrative, and 40 days of fasting/temptation in the wilderness appears in the Christian Gospels' account of Jesus.
DocumentedReligion & beliefCulture: Jewish and Christian traditionForty recurs across Hebrew and later Christian and Islamic texts as a duration. Scholarship generally reads it as idiomatic — a long but finite period — rather than as a count, which explains its frequency better than coincidence does.
DocumentedReligion & beliefCulture: Abrahamic religious traditionIn Christianity, Lent runs for forty days before Easter, counted without the Sundays, in reference to the forty days described in the wilderness.
Tradition / practiceReligion & beliefCulture: ChristianityPresented as belief or tradition, not as an established fact.
Technology & computing
There are 40 channels in the Citizens Band allocation (the United States and much of Europe; other countries differ). The United States allowed 23 until 1977. Channel 19 became the informal road channel and channel 9 the emergency one, neither by regulation in the first instance.
DocumentedTechnology & computingGeography: the United States and much of Europe; other countries differ
Science
The distance to Proxima Centauri is about 40 trillion kilometres (the Milky Way). 4.2 light-years. Written in kilometres the number stops meaning anything, which is the argument for the light-year as a unit.
DocumentedScienceGeography: the Milky Way
Culture
Quarantine derives from the Venetian quaranta giorni, the forty days ships were held before landing during plague outbreaks. The practice moved to other intervals long ago while the word kept the original number.
DocumentedCultureGeography: Originating in Venice and RagusaPeriod: 14th century–A 40-year anniversary is named for ruby. Stable across lists, and used institutionally as well as for marriages.
DocumentedCultureGeography: United Kingdom, United States and much of EuropeForty is treated as a landmark birthday across much of the anglophone world, carrying both the 'life begins at 40' idiom — from Walter Pitkin's 1932 book of that title — and the 'over the hill' one. It has no legal or biological content whatever; it is a round number in a decimal culture.
DocumentedCultureGeography: English-speaking countries
Sport
Tennis scores 15, 30, 40 rather than 1, 2, 3. The most common explanation is a clock face marking quarters, with 45 shortened in speech to 40; the evidence is circumstantial, and the scoring predates any single documented account of why.
DocumentedSport
Common questions
What is 40 in Roman numerals?
XL — ten subtracted from fifty. The subtractive pairs at this scale are XL for 40 and XC for 90, mirroring IV and IX one order of magnitude down.
Why does 40 appear so often in religious texts?
In the Hebrew Bible and the New Testament, forty days or forty years repeatedly marks a period of testing or transition — the flood, the wilderness years, and the fast before the temptation. Scholars generally read it as a conventional expression for "a long, complete period" rather than a precise count, and the same convention carries into Lent.
Why is turning 40 treated as a landmark?
Nothing about the number: it is round in a decimal culture, and that is the whole of it. The two idioms attached to it point in opposite directions — 'life begins at 40' comes from Walter Pitkin's 1932 book of that title, and 'over the hill' from the notion of a midpoint. Neither has any legal or biological content.
Is 40 a prime number?
No, 40 is not prime.
What are the factors of 40?
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 12 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026