10401904800 has 432 divisors, whose sum is σ = 42190424640. Its totient is φ = 2362245120.

The previous prime is 10401904753. The next prime is 10401904811. The reversal of 10401904800 is 840910401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9021024 + ... + 9022176.

It is an arithmetic number, because the mean of its divisors is an integer number (97663020).

Almost surely, 2^10401904800 is an apocalyptic number.

10401904800 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 10401904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21095212320).

10401904800 is an abundant number, since it is smaller than the sum of its proper divisors (31788519840).

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

10401904800 is a wasteful number, since it uses less digits than its factorization.

10401904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10401904800 in words is "ten billion, four hundred one million, nine hundred four thousand, eight hundred".