42642411424624 has 60 divisors (see below), whose sum is σ = 91476230427792. Its totient is φ = 19241433038080.

The previous prime is 42642411424603. The next prime is 42642411424651.

42642411424624 is nontrivially palindromic in base 10.

It is a congruent number.

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, 80121772 + ... + 80652235.

Almost surely, 2^{42642411424624} is an apocalyptic number.

42642411424624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42642411424624 is an abundant number, since it is smaller than the sum of its proper divisors (48833819003168).

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

42642411424624 is a wasteful number, since it uses less digits than its factorization.

42642411424624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160774174 (or 160774157 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 46.

It can be divided in two parts, 4264241 and 1424624, that added together give a palindrome (5688865).

The spelling of 42642411424624 in words is "forty-two trillion, six hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, six hundred twenty-four".