42136593984 has 105 divisors (see below), whose sum is σ = 124949891451. Its totient is φ = 14040604800.

The previous prime is 42136593881. The next prime is 42136593997. The reversal of 42136593984 is 48939563124.

The square root of 42136593984 is 205272.

It is a perfect power (a square), and thus also a powerful number.

42136593984 is a `hidden beast` number, since 42 + 1 + 3 + 6 + 593 + 9 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42136593984.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14778159 + ... + 14781009.

Almost surely, 2^42136593984 is an apocalyptic number.

42136593984 is the 205272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42136593984

42136593984 is an abundant number, since it is smaller than the sum of its proper divisors (82813297467).

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

42136593984 is an frugal number, since it uses more digits than its factorization.

42136593984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 2856 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 42136593984 in words is "forty-two billion, one hundred thirty-six million, five hundred ninety-three thousand, nine hundred eighty-four".