404234880400 has 120 divisors (see below), whose sum is σ = 1046423274624. Its totient is φ = 149178432000.

The previous prime is 404234880391. The next prime is 404234880419. The reversal of 404234880400 is 4088432404.

It is a self number, because there is not a number n which added to its sum of digits gives 404234880400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10521225 + ... + 10559575.

Almost surely, 2^404234880400 is an apocalyptic number.

404234880400 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 404234880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523211637312).

404234880400 is an abundant number, since it is smaller than the sum of its proper divisors (642188394224).

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

404234880400 is a wasteful number, since it uses less digits than its factorization.

404234880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40409 (or 40398 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 404234880400 in words is "four hundred four billion, two hundred thirty-four million, eight hundred eighty thousand, four hundred".