42056611920 has 60 divisors (see below), whose sum is σ = 141240124116. Its totient is φ = 11215096320.

The previous prime is 42056611901. The next prime is 42056611921. The reversal of 42056611920 is 2911665024.

42056611920 is a `hidden beast` number, since 4 + 2 + 0 + 566 + 1 + 1 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9057709584 + 32998902336 = 95172^2 + 181656^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42056611921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29205261 + ... + 29206700.

Almost surely, 2^42056611920 is an apocalyptic number.

42056611920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42056611920 is an abundant number, since it is smaller than the sum of its proper divisors (99183512196).

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

42056611920 is a wasteful number, since it uses less digits than its factorization.

42056611920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58411980 (or 58411971 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 42056611920 in words is "forty-two billion, fifty-six million, six hundred eleven thousand, nine hundred twenty".