90471997440 has 1120 divisors, whose sum is σ = 368810950464. Its totient is φ = 21021327360.

The previous prime is 90471997411. The next prime is 90471997487. The reversal of 90471997440 is 4479917409.

90471997440 is a `hidden beast` number, since 9 + 0 + 4 + 7 + 199 + 7 + 440 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1350328287 + ... + 1350328353.

Almost surely, 2^90471997440 is an apocalyptic number.

90471997440 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 90471997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184405475232).

90471997440 is an abundant number, since it is smaller than the sum of its proper divisors (278338953024).

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

90471997440 is a wasteful number, since it uses less digits than its factorization.

90471997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 90471997440 in words is "ninety billion, four hundred seventy-one million, nine hundred ninety-seven thousand, four hundred forty".