90344989440 has 432 divisors, whose sum is σ = 328807454976. Its totient is φ = 23746867200.

The previous prime is 90344989429. The next prime is 90344989459. The reversal of 90344989440 is 4498944309.

90344989440 is a `hidden beast` number, since 90 + 34 + 4 + 9 + 89 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22081795 + ... + 22085885.

It is an arithmetic number, because the mean of its divisors is an integer number (761128368).

Almost surely, 2^90344989440 is an apocalyptic number.

90344989440 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 90344989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164403727488).

90344989440 is an abundant number, since it is smaller than the sum of its proper divisors (238462465536).

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

90344989440 is an equidigital number, since it uses as much as digits as its factorization.

90344989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 90344989440 in words is "ninety billion, three hundred forty-four million, nine hundred eighty-nine thousand, four hundred forty".