42244444224 has 84 divisors (see below), whose sum is σ = 122285112300. Its totient is φ = 13942041600.

The previous prime is 42244444199. The next prime is 42244444237.

42244444224 is a `hidden beast` number, since 4 + 224 + 4 + 4 + 4 + 422 + 4 = 666.

42244444224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 37856706624 + 4387737600 = 194568^2 + 66240^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304899 + ... + 421250.

Almost surely, 2^42244444224 is an apocalyptic number.

It is an amenable number.

42244444224 is an abundant number, since it is smaller than the sum of its proper divisors (80040668076).

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

42244444224 is a wasteful number, since it uses less digits than its factorization.

42244444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726268 (or 726255 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

The spelling of 42244444224 in words is "forty-two billion, two hundred forty-four million, four hundred forty-four thousand, two hundred twenty-four".