404400636928 has 176 divisors, whose sum is σ = 844569273600. Its totient is φ = 193375862784.

The previous prime is 404400636923. The next prime is 404400637057. The reversal of 404400636928 is 829636004404.

It is not an unprimeable number, because it can be changed into a prime (404400636923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675125973 + ... + 675126571.

Almost surely, 2^404400636928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404400636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422284636800).

404400636928 is an abundant number, since it is smaller than the sum of its proper divisors (440168636672).

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

404400636928 is a wasteful number, since it uses less digits than its factorization.

404400636928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 404400636928 in words is "four hundred four billion, four hundred million, six hundred thirty-six thousand, nine hundred twenty-eight".