112599901440 has 432 divisors, whose sum is σ = 435106508928. Its totient is φ = 27715903488.

The previous prime is 112599901397. The next prime is 112599901459. The reversal of 112599901440 is 44109995211.

112599901440 is a `hidden beast` number, since 1 + 1 + 2 + 599 + 9 + 0 + 14 + 40 = 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 (45).

It is a congruent number.

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, 4029597 + ... + 4057443.

Almost surely, 2^112599901440 is an apocalyptic number.

112599901440 is a gapful number since it is divisible by the number (10) 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 112599901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217553254464).

112599901440 is an abundant number, since it is smaller than the sum of its proper divisors (322506607488).

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

112599901440 is an equidigital number, since it uses as much as digits as its factorization.

112599901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27896 (or 27870 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 112599901440 in words is "one hundred twelve billion, five hundred ninety-nine million, nine hundred one thousand, four hundred forty".