90044006400 has 960 divisors, whose sum is σ = 353983370400. Its totient is φ = 22578462720.

The previous prime is 90044006387. The next prime is 90044006413. The reversal of 90044006400 is 460044009.

It is an interprime number because it is at equal distance from previous prime (90044006387) and next prime (90044006413).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1526169571 + ... + 1526169629.

Almost surely, 2^90044006400 is an apocalyptic number.

90044006400 is a gapful number since it is divisible by the number (90) 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 90044006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176991685200).

90044006400 is an abundant number, since it is smaller than the sum of its proper divisors (263939364000).

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

90044006400 is an equidigital number, since it uses as much as digits as its factorization.

90044006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 90044006400 in words is "ninety billion, forty-four million, six thousand, four hundred".