42644444624 has 80 divisors (see below), whose sum is σ = 87280913664. Its totient is φ = 20144256000.

The previous prime is 42644444621. The next prime is 42644444629.

It is a happy number.

42644444624 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42644444621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18694364 + ... + 18696644.

Almost surely, 2^42644444624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42644444624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43640456832).

42644444624 is an abundant number, since it is smaller than the sum of its proper divisors (44636469040).

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

42644444624 is a wasteful number, since it uses less digits than its factorization.

42644444624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2910 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

The spelling of 42644444624 in words is "forty-two billion, six hundred forty-four million, four hundred forty-four thousand, six hundred twenty-four".