10404626400 has 432 divisors, whose sum is σ = 42653520000. Its totient is φ = 2337223680.

The previous prime is 10404626389. The next prime is 10404626411. The reversal of 10404626400 is 462640401.

10404626400 is a `hidden beast` number, since 10 + 4 + 0 + 4 + 6 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10404626389) and next prime (10404626411).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2971851 + ... + 2975349.

It is an arithmetic number, because the mean of its divisors is an integer number (98735000).

Almost surely, 2^10404626400 is an apocalyptic number.

10404626400 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 10404626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760000).

10404626400 is an abundant number, since it is smaller than the sum of its proper divisors (32248893600).

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

10404626400 is a wasteful number, since it uses less digits than its factorization.

10404626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

It can be divided in two parts, 10404 and 626400, that added together give a square (636804 = 798²).

The spelling of 10404626400 in words is "ten billion, four hundred four million, six hundred twenty-six thousand, four hundred".