42431633613424 has 40 divisors (see below), whose sum is σ = 91205129283840. Its totient is φ = 18960206078400.

The previous prime is 42431633613419. The next prime is 42431633613463.

42431633613424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42431633613424² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2043115272 + ... + 2043136039.

It is an arithmetic number, because the mean of its divisors is an integer number (2280128232096).

Almost surely, 2^{42431633613424} is an apocalyptic number.

42431633613424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42431633613424 is an abundant number, since it is smaller than the sum of its proper divisors (48773495670416).

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

42431633613424 is a wasteful number, since it uses less digits than its factorization.

42431633613424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086251389 (or 4086251383 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 46.

It can be divided in two parts, 4243163 and 3613424, that added together give a palindrome (7856587).

The spelling of 42431633613424 in words is "forty-two trillion, four hundred thirty-one billion, six hundred thirty-three million, six hundred thirteen thousand, four hundred twenty-four".