42561216524 has 96 divisors (see below), whose sum is σ = 82889049600. Its totient is φ = 19030753280.

The previous prime is 42561216469. The next prime is 42561216527.

42561216524 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42561216524² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42561216527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49317317 + ... + 49318179.

It is an arithmetic number, because the mean of its divisors is an integer number (863427600).

Almost surely, 2^42561216524 is an apocalyptic number.

It is an amenable number.

42561216524 is a deficient number, since it is larger than the sum of its proper divisors (40327833076).

42561216524 is a wasteful number, since it uses less digits than its factorization.

42561216524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1281 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The spelling of 42561216524 in words is "forty-two billion, five hundred sixty-one million, two hundred sixteen thousand, five hundred twenty-four".