42366511566324 has 96 divisors (see below), whose sum is σ = 119825951616000. Its totient is φ = 12838178861280.

The previous prime is 42366511566311. The next prime is 42366511566331.

42366511566324 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 6 + 51 + 1 + 566 + 3 + 24 = 666.

42366511566324 is nontrivially palindromic in base 10.

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

It is a congruent number.

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, 127780849 + ... + 128111975.

It is an arithmetic number, because the mean of its divisors is an integer number (1248186996000).

Almost surely, 2^{42366511566324} is an apocalyptic number.

42366511566324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42366511566324 is an abundant number, since it is smaller than the sum of its proper divisors (77459440049676).

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

42366511566324 is a wasteful number, since it uses less digits than its factorization.

42366511566324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438850 (or 438842 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 42366511566324 in words is "forty-two trillion, three hundred sixty-six billion, five hundred eleven million, five hundred sixty-six thousand, three hundred twenty-four".