42431455413424 has 80 divisors (see below), whose sum is σ = 102506238823680. Its totient is φ = 16530207425280.

The previous prime is 42431455413353. The next prime is 42431455413491.

42431455413424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11784187 + ... + 14957605.

It is an arithmetic number, because the mean of its divisors is an integer number (1281327985296).

Almost surely, 2^{42431455413424} is an apocalyptic number.

42431455413424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42431455413424 is an abundant number, since it is smaller than the sum of its proper divisors (60074783410256).

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

42431455413424 is a wasteful number, since it uses less digits than its factorization.

42431455413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184298 (or 3184292 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 4243145 and 5413424, that added together give a palindrome (9656569).

The spelling of 42431455413424 in words is "forty-two trillion, four hundred thirty-one billion, four hundred fifty-five million, four hundred thirteen thousand, four hundred twenty-four".