112641074040 has 128 divisors (see below), whose sum is σ = 368791211520. Its totient is φ = 27295987200.

The previous prime is 112641074009. The next prime is 112641074113. The reversal of 112641074040 is 40470146211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112641073989 and 112641074007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3562782 + ... + 3594258.

It is an arithmetic number, because the mean of its divisors is an integer number (2881181340).

Almost surely, 2^112641074040 is an apocalyptic number.

112641074040 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 112641074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184395605760).

112641074040 is an abundant number, since it is smaller than the sum of its proper divisors (256150137480).

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

112641074040 is a wasteful number, since it uses less digits than its factorization.

112641074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34213 (or 34209 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 112641074040 in words is "one hundred twelve billion, six hundred forty-one million, seventy-four thousand, forty".