42165689144832 has 720 divisors, whose sum is σ = 140247997553664. Its totient is φ = 12163234406400.

The previous prime is 42165689144827. The next prime is 42165689144861. The reversal of 42165689144832 is 23844198656124.

42165689144832 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 5 + 68 + 91 + 4 + 483 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42165689144832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2705869713 + ... + 2705885295.

Almost surely, 2^{42165689144832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42165689144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70123998776832).

42165689144832 is an abundant number, since it is smaller than the sum of its proper divisors (98082308408832).

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

42165689144832 is a wasteful number, since it uses less digits than its factorization.

42165689144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15863 (or 15833 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 42165689144832 in words is "forty-two trillion, one hundred sixty-five billion, six hundred eighty-nine million, one hundred forty-four thousand, eight hundred thirty-two".