10901642400 has 432 divisors, whose sum is σ = 42665706720. Its totient is φ = 2596915200.

The previous prime is 10901642399. The next prime is 10901642413. The reversal of 10901642400 is 424610901.

10901642400 is a `hidden beast` number, since 10 + 9 + 0 + 1 + 642 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4671634 + ... + 4673966.

It is an arithmetic number, because the mean of its divisors is an integer number (98763210).

Almost surely, 2^10901642400 is an apocalyptic number.

10901642400 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 10901642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332853360).

10901642400 is an abundant number, since it is smaller than the sum of its proper divisors (31764064320).

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

10901642400 is a wasteful number, since it uses less digits than its factorization.

10901642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10901642400 in words is "ten billion, nine hundred one million, six hundred forty-two thousand, four hundred".