404956988800 has 576 divisors, whose sum is σ = 1292093372160. Its totient is φ = 122563584000.

The previous prime is 404956988791. The next prime is 404956988879. The reversal of 404956988800 is 8889659404.

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, 87066475 + ... + 87071125.

It is an arithmetic number, because the mean of its divisors is an integer number (2243217660).

Almost surely, 2^404956988800 is an apocalyptic number.

404956988800 is a gapful number since it is divisible by the number (40) 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 404956988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646046686080).

404956988800 is an abundant number, since it is smaller than the sum of its proper divisors (887136383360).

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

404956988800 is a wasteful number, since it uses less digits than its factorization.

404956988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 61.

The spelling of 404956988800 in words is "four hundred four billion, nine hundred fifty-six million, nine hundred eighty-eight thousand, eight hundred".