10157495040 has 864 divisors, whose sum is σ = 45410158080. Its totient is φ = 2104565760.

The previous prime is 10157495027. The next prime is 10157495059. The reversal of 10157495040 is 4059475101.

10157495040 is a `hidden beast` number, since 10 + 157 + 495 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 10157494986 and 10157495004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29272147 + ... + 29272493.

Almost surely, 2^10157495040 is an apocalyptic number.

10157495040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10157495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22705079040).

10157495040 is an abundant number, since it is smaller than the sum of its proper divisors (35252663040).

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

10157495040 is a wasteful number, since it uses less digits than its factorization.

10157495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10157495040 in words is "ten billion, one hundred fifty-seven million, four hundred ninety-five thousand, forty".