10457564040 has 192 divisors, whose sum is σ = 42373618560. Its totient is φ = 2172994560.

The previous prime is 10457564021. The next prime is 10457564101. The reversal of 10457564040 is 4046575401.

10457564040 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 5 + 640 + 4 + 0 = 666.

It is a super-2 number, since 2×10457564040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10457563986 and 10457564004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160909 + ... + 216348.

It is an arithmetic number, because the mean of its divisors is an integer number (220695930).

Almost surely, 2^10457564040 is an apocalyptic number.

10457564040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10457564040 is an abundant number, since it is smaller than the sum of its proper divisors (31916054520).

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

10457564040 is a wasteful number, since it uses less digits than its factorization.

10457564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377292 (or 377285 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 10457564040 in words is "ten billion, four hundred fifty-seven million, five hundred sixty-four thousand, forty".