42561600616524 has 24 divisors (see below), whose sum is σ = 108338619751488. Its totient is φ = 12897454732240.

The previous prime is 42561600616517. The next prime is 42561600616529.

It is a happy number.

42561600616524 is nontrivially palindromic in base 10.

42561600616524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42561600616524² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42561600616529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161218184022 + ... + 161218184285.

It is an arithmetic number, because the mean of its divisors is an integer number (4514109156312).

Almost surely, 2^{42561600616524} is an apocalyptic number.

42561600616524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42561600616524 is an abundant number, since it is smaller than the sum of its proper divisors (65777019134964).

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

42561600616524 is a wasteful number, since it uses less digits than its factorization.

42561600616524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322436368325 (or 322436368323 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 42561600616524 in words is "forty-two trillion, five hundred sixty-one billion, six hundred million, six hundred sixteen thousand, five hundred twenty-four".