42256813104 has 80 divisors (see below), whose sum is σ = 132319328640. Its totient is φ = 12805093440.

The previous prime is 42256813097. The next prime is 42256813231. The reversal of 42256813104 is 40131865224.

It is a happy number.

42256813104 is a `hidden beast` number, since 422 + 56 + 81 + 3 + 104 = 666.

42256813104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42256813104² (a number of 22 digits) contains 22 as substring.

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

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, 4441462 + ... + 4450965.

It is an arithmetic number, because the mean of its divisors is an integer number (1653991608).

Almost surely, 2^42256813104 is an apocalyptic number.

42256813104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42256813104 is an abundant number, since it is smaller than the sum of its proper divisors (90062515536).

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

42256813104 is a wasteful number, since it uses less digits than its factorization.

42256813104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892455 (or 8892443 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42256813104 in words is "forty-two billion, two hundred fifty-six million, eight hundred thirteen thousand, one hundred four".