404001617600 has 168 divisors, whose sum is σ = 1136637726720. Its totient is φ = 138450539520.

The previous prime is 404001617599. The next prime is 404001617609. The reversal of 404001617600 is 6716100404.

It is not an unprimeable number, because it can be changed into a prime (404001617609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28429697 + ... + 28443903.

Almost surely, 2^404001617600 is an apocalyptic number.

404001617600 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 404001617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568318863360).

404001617600 is an abundant number, since it is smaller than the sum of its proper divisors (732636109120).

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

404001617600 is a wasteful number, since it uses less digits than its factorization.

404001617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16775 (or 16760 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 404001617600 in words is "four hundred four billion, one million, six hundred seventeen thousand, six hundred".