42042700656 has 180 divisors, whose sum is σ = 129531631320. Its totient is φ = 12720364800.

The previous prime is 42042700633. The next prime is 42042700669. The reversal of 42042700656 is 65600724024.

42042700656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42042700656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14303635 + ... + 14306573.

It is an arithmetic number, because the mean of its divisors is an integer number (719620174).

Almost surely, 2^42042700656 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 42042700656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64765815660).

42042700656 is an abundant number, since it is smaller than the sum of its proper divisors (87488930664).

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

42042700656 is a wasteful number, since it uses less digits than its factorization.

42042700656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 42042700656 in words is "forty-two billion, forty-two million, seven hundred thousand, six hundred fifty-six".