90493414400 has 264 divisors, whose sum is σ = 234049722240. Its totient is φ = 34652160000.

The previous prime is 90493414343. The next prime is 90493414439. The reversal of 90493414400 is 441439409.

It is a happy number.

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, 80153036 + ... + 80154164.

Almost surely, 2^90493414400 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 90493414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117024861120).

90493414400 is an abundant number, since it is smaller than the sum of its proper divisors (143556307840).

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

90493414400 is a wasteful number, since it uses less digits than its factorization.

90493414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 90493414400 in words is "ninety billion, four hundred ninety-three million, four hundred fourteen thousand, four hundred".