112138880040 has 576 divisors, whose sum is σ = 419262480000. Its totient is φ = 25776368640.

The previous prime is 112138880011. The next prime is 112138880069. The reversal of 112138880040 is 40088831211.

It is an interprime number because it is at equal distance from previous prime (112138880011) and next prime (112138880069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112138879977 and 112138880004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 416873026 + ... + 416873294.

It is an arithmetic number, because the mean of its divisors is an integer number (727886250).

Almost surely, 2^112138880040 is an apocalyptic number.

112138880040 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 112138880040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209631240000).

112138880040 is an abundant number, since it is smaller than the sum of its proper divisors (307123599960).

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

112138880040 is a wasteful number, since it uses less digits than its factorization.

112138880040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 112138880040 in words is "one hundred twelve billion, one hundred thirty-eight million, eight hundred eighty thousand, forty".