42644422444624 has 240 divisors, whose sum is σ = 111793815876736. Its totient is φ = 15334150487040.

The previous prime is 42644422444609. The next prime is 42644422444643.

42644422444624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334164867 + ... + 1334196829.

Almost surely, 2^{42644422444624} is an apocalyptic number.

42644422444624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42644422444624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55896907938368).

42644422444624 is an abundant number, since it is smaller than the sum of its proper divisors (69149393432112).

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

42644422444624 is a wasteful number, since it uses less digits than its factorization.

42644422444624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39586 (or 39569 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 52.

The spelling of 42644422444624 in words is "forty-two trillion, six hundred forty-four billion, four hundred twenty-two million, four hundred forty-four thousand, six hundred twenty-four".