112013591040 has 960 divisors, whose sum is σ = 456677020800. Its totient is φ = 26121388032.

The previous prime is 112013591029. The next prime is 112013591069. The reversal of 112013591040 is 40195310211.

It is a happy number.

112013591040 is a `hidden beast` number, since 1 + 1 + 20 + 13 + 591 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112013590995 and 112013591013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5895452151 + ... + 5895452169.

It is an arithmetic number, because the mean of its divisors is an integer number (475705230).

Almost surely, 2^112013591040 is an apocalyptic number.

112013591040 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 112013591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228338510400).

112013591040 is an abundant number, since it is smaller than the sum of its proper divisors (344663429760).

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

112013591040 is an frugal number, since it uses more digits than its factorization.

112013591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 112013591040 in words is "one hundred twelve billion, thirteen million, five hundred ninety-one thousand, forty".