42112656 has 80 divisors (see below), whose sum is σ = 122670720. Its totient is φ = 13829760.

The previous prime is 42112643. The next prime is 42112661. The reversal of 42112656 is 65621124.

42112656 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 2 + 656 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29986 + ... + 31358.

It is an arithmetic number, because the mean of its divisors is an integer number (1533384).

Almost surely, 2^42112656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42112656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61335360).

42112656 is an abundant number, since it is smaller than the sum of its proper divisors (80558064).

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

42112656 is a wasteful number, since it uses less digits than its factorization.

42112656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1449 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 42112656 is about 6489.4264769701. The cubic root of 42112656 is about 347.9131769133.

The spelling of 42112656 in words is "forty-two million, one hundred twelve thousand, six hundred fifty-six".