42244444444224 has 56 divisors (see below), whose sum is σ = 121932828288288. Its totient is φ = 12801346800640.

The previous prime is 42244444444217. The next prime is 42244444444249.

It is a happy number.

42244444444224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42244444444224² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 10001050077 + ... + 10001054300.

Almost surely, 2^{42244444444224} is an apocalyptic number.

42244444444224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42244444444224 is an abundant number, since it is smaller than the sum of its proper divisors (79688383844064).

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

42244444444224 is a wasteful number, since it uses less digits than its factorization.

42244444444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20002104403 (or 20002104393 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 48.

It can be divided in two parts, 4224444 and 4444224, that added together give a palindrome (8668668).

The spelling of 42244444444224 in words is "forty-two trillion, two hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, two hundred twenty-four".