42635955953624 has 48 divisors (see below), whose sum is σ = 87873218609400. Its totient is φ = 19379400465920.

The previous prime is 42635955953603. The next prime is 42635955953627.

It is a happy number.

42635955953624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42635955953624² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42635955953627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32596847 + ... + 33879585.

Almost surely, 2^{42635955953624} is an apocalyptic number.

42635955953624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42635955953624 is an abundant number, since it is smaller than the sum of its proper divisors (45237262655776).

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

42635955953624 is a wasteful number, since it uses less digits than its factorization.

42635955953624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317104 (or 1317089 counting only the distinct ones).

The product of its digits is 1049760000, while the sum is 68.

The spelling of 42635955953624 in words is "forty-two trillion, six hundred thirty-five billion, nine hundred fifty-five million, nine hundred fifty-three thousand, six hundred twenty-four".