90459426240 has 560 divisors, whose sum is σ = 352506686400. Its totient is φ = 21917564928.

The previous prime is 90459426203. The next prime is 90459426251. The reversal of 90459426240 is 4262495409.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12775021 + ... + 12782099.

Almost surely, 2^90459426240 is an apocalyptic number.

90459426240 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 90459426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176253343200).

90459426240 is an abundant number, since it is smaller than the sum of its proper divisors (262047260160).

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

90459426240 is a wasteful number, since it uses less digits than its factorization.

90459426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 90459426240 in words is "ninety billion, four hundred fifty-nine million, four hundred twenty-six thousand, two hundred forty".