404004484800 has 252 divisors, whose sum is σ = 1641060213936. Its totient is φ = 92343859200.

The previous prime is 404004484783. The next prime is 404004484813. The reversal of 404004484800 is 8484400404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1903191 + ... + 2104790.

Almost surely, 2^404004484800 is an apocalyptic number.

404004484800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404004484800 is an abundant number, since it is smaller than the sum of its proper divisors (1237055729136).

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

404004484800 is a wasteful number, since it uses less digits than its factorization.

404004484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008016 (or 4007998 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 404004484800 in words is "four hundred four billion, four million, four hundred eighty-four thousand, eight hundred".