112657789440 has 1920 divisors, whose sum is σ = 510524467200. Its totient is φ = 23410114560.

The previous prime is 112657789423. The next prime is 112657789487. The reversal of 112657789440 is 44987756211.

112657789440 is a `hidden beast` number, since 1 + 1 + 26 + 577 + 8 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3044805102 + ... + 3044805138.

It is an arithmetic number, because the mean of its divisors is an integer number (265898160).

Almost surely, 2^112657789440 is an apocalyptic number.

112657789440 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 112657789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255262233600).

112657789440 is an abundant number, since it is smaller than the sum of its proper divisors (397866677760).

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

112657789440 is a wasteful number, since it uses less digits than its factorization.

112657789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 112657789440 in words is "one hundred twelve billion, six hundred fifty-seven million, seven hundred eighty-nine thousand, four hundred forty".