10400157561600 has 864 divisors, whose sum is σ = 39486417152000. Its totient is φ = 2675740262400.

The previous prime is 10400157561559. The next prime is 10400157561601. The reversal of 10400157561600 is 616575100401.

It is a happy number.

10400157561600 is a `hidden beast` number, since 1 + 0 + 40 + 0 + 1 + 5 + 7 + 5 + 6 + 1 + 600 = 666.

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

It is a super-2 number, since 2×10400157561600² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10400157561601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1869520419 + ... + 1869525981.

Almost surely, 2^{10400157561600} is an apocalyptic number.

10400157561600 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 10400157561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19743208576000).

10400157561600 is an abundant number, since it is smaller than the sum of its proper divisors (29086259590400).

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

10400157561600 is a wasteful number, since it uses less digits than its factorization.

10400157561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5953 counting only the distinct ones).

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

The spelling of 10400157561600 in words is "ten trillion, four hundred billion, one hundred fifty-seven million, five hundred sixty-one thousand, six hundred".