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40456985440 = 255733463783
BaseRepresentation
bin100101101011011011…
…001001101101100000
310212102111221210200011
4211223123021231200
51130323442013230
630330301334304
72631363462604
oct455333115540
9125374853604
1040456985440
1116180a05a63
127a10b67394
133a79956951
141d5b167504
1510bbba4e2a
hex96b6c9b60

40456985440 has 48 divisors (see below), whose sum is σ = 96888966048. Its totient is φ = 15961107456.

The previous prime is 40456985417. The next prime is 40456985447. The reversal of 40456985440 is 4458965404.

40456985440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40456985447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720212 + ... + 1743571.

It is an arithmetic number, because the mean of its divisors is an integer number (2018520126).

Almost surely, 240456985440 is an apocalyptic number.

40456985440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40456985440 is an abundant number, since it is smaller than the sum of its proper divisors (56431980608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40456985440 is a wasteful number, since it uses less digits than its factorization.

40456985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463871 (or 3463863 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 40456985440 in words is "forty billion, four hundred fifty-six million, nine hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 3463783 6927566 13855132 17318915 27710264 34637830 55420528 69275660 110841056 138551320 252856159 277102640 505712318 554205280 1011424636 1264280795 2022849272 2528561590 4045698544 5057123180 8091397088 10114246360 20228492720 40456985440