90409891400 has 48 divisors (see below), whose sum is σ = 212735602800. Its totient is φ = 35728239680.

The previous prime is 90409891367. The next prime is 90409891421. The reversal of 90409891400 is 419890409.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2706590 + ... + 2739789.

It is an arithmetic number, because the mean of its divisors is an integer number (4431991725).

Almost surely, 2^90409891400 is an apocalyptic number.

It is an amenable number.

90409891400 is an abundant number, since it is smaller than the sum of its proper divisors (122325711400).

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

90409891400 is a wasteful number, since it uses less digits than its factorization.

90409891400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446478 (or 5446469 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 90409891400 in words is "ninety billion, four hundred nine million, eight hundred ninety-one thousand, four hundred".