90534961440 has 384 divisors, whose sum is σ = 395063101440. Its totient is φ = 18812390400.

The previous prime is 90534961421. The next prime is 90534961463. The reversal of 90534961440 is 4416943509.

90534961440 is a `hidden beast` number, since 90 + 5 + 34 + 96 + 1 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196555 + ... + 468725.

It is an arithmetic number, because the mean of its divisors is an integer number (1028810160).

Almost surely, 2^90534961440 is an apocalyptic number.

90534961440 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 90534961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197531550720).

90534961440 is an abundant number, since it is smaller than the sum of its proper divisors (304528140000).

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

90534961440 is a wasteful number, since it uses less digits than its factorization.

90534961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272213 (or 272199 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 90534961440 in words is "ninety billion, five hundred thirty-four million, nine hundred sixty-one thousand, four hundred forty".