42018440256 has 441 divisors, whose sum is σ = 137249237439. Its totient is φ = 12751644672.

The previous prime is 42018440239. The next prime is 42018440279. The reversal of 42018440256 is 65204481024.

The square root of 42018440256 is 204984.

It is a perfect power (a square), and thus also a powerful number.

42018440256 is a `hidden beast` number, since 4 + 20 + 184 + 402 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4227080256 + 37791360000 = 65016^2 + 194400^2 .

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 42018440256.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 575595036 + ... + 575595108.

Almost surely, 2^42018440256 is an apocalyptic number.

42018440256 is the 204984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42018440256

42018440256 is an abundant number, since it is smaller than the sum of its proper divisors (95230797183).

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

42018440256 is an frugal number, since it uses more digits than its factorization.

42018440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 42018440256 by its sum of digits (36), we get a square (1512663849216 = 1229904²).

42018440256 divided by its sum of digits (36) gives a square (1167178896 = 34164²).

The spelling of 42018440256 in words is "forty-two billion, eighteen million, four hundred forty thousand, two hundred fifty-six".