90404390400 has 120 divisors (see below), whose sum is σ = 298645380264. Its totient is φ = 24107827200.

The previous prime is 90404390347. The next prime is 90404390413. The reversal of 90404390400 is 409340409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×90404390400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1138741 + ... + 1215540.

Almost surely, 2^90404390400 is an apocalyptic number.

It is an amenable number.

90404390400 is an abundant number, since it is smaller than the sum of its proper divisors (208240989864).

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

90404390400 is a wasteful number, since it uses less digits than its factorization.

90404390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354312 (or 2354291 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 90404390400 in words is "ninety billion, four hundred four million, three hundred ninety thousand, four hundred".