10404500400 has 360 divisors, whose sum is σ = 41602289664. Its totient is φ = 2358720000.

The previous prime is 10404500399. The next prime is 10404500413. The reversal of 10404500400 is 400540401.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3198775 + ... + 3202025.

Almost surely, 2^10404500400 is an apocalyptic number.

10404500400 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 10404500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20801144832).

10404500400 is an abundant number, since it is smaller than the sum of its proper divisors (31197789264).

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

10404500400 is a wasteful number, since it uses less digits than its factorization.

10404500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The spelling of 10404500400 in words is "ten billion, four hundred four million, five hundred thousand, four hundred".