42244433444224 has 32 divisors (see below), whose sum is σ = 91809635187240. Its totient is φ = 19202015201280.

The previous prime is 42244433444219. The next prime is 42244433444231.

42244433444224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15001572969 + ... + 15001575784.

Almost surely, 2^{42244433444224} is an apocalyptic number.

42244433444224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42244433444224 is an abundant number, since it is smaller than the sum of its proper divisors (49565201743016).

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

42244433444224 is a wasteful number, since it uses less digits than its factorization.

42244433444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30003148778 (or 30003148766 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 46.

It can be divided in two parts, 4224443 and 3444224, that added together give a palindrome (7668667).

The spelling of 42244433444224 in words is "forty-two trillion, two hundred forty-four billion, four hundred thirty-three million, four hundred forty-four thousand, two hundred twenty-four".