42072399327024 has 160 divisors (see below), whose sum is σ = 132003776217600. Its totient is φ = 12723864848640.

The previous prime is 42072399327019. The next prime is 42072399327083.

It is a happy number.

42072399327024 is a `hidden beast` number, since 4 + 207 + 2 + 3 + 99 + 327 + 0 + 24 = 666.

42072399327024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6410559 + ... + 11191070.

It is an arithmetic number, because the mean of its divisors is an integer number (825023601360).

Almost surely, 2^{42072399327024} is an apocalyptic number.

42072399327024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42072399327024 is an abundant number, since it is smaller than the sum of its proper divisors (89931376890576).

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

42072399327024 is a wasteful number, since it uses less digits than its factorization.

42072399327024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17602160 (or 17602148 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 42072399327024 in words is "forty-two trillion, seventy-two billion, three hundred ninety-nine million, three hundred twenty-seven thousand, twenty-four".