42641579835972 has 72 divisors (see below), whose sum is σ = 116081096727960. Its totient is φ = 13120345889280.

The previous prime is 42641579835889. The next prime is 42641579835979. The reversal of 42641579835972 is 27953897514624.

42641579835972 is a `hidden beast` number, since 4 + 2 + 6 + 41 + 579 + 8 + 3 + 5 + 9 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90302654016 + 42551277181956 = 300504^2 + 6523134^2 .

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42641579835972.

It is not an unprimeable number, because it can be changed into a prime (42641579835979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48644272 + ... + 49513112.

It is an arithmetic number, because the mean of its divisors is an integer number (1612237454555).

Almost surely, 2^{42641579835972} is an apocalyptic number.

It is an amenable number.

42641579835972 is an abundant number, since it is smaller than the sum of its proper divisors (73439516891988).

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

42641579835972 is a wasteful number, since it uses less digits than its factorization.

42641579835972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973733 (or 973728 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 42641579835972 in words is "forty-two trillion, six hundred forty-one billion, five hundred seventy-nine million, eight hundred thirty-five thousand, nine hundred seventy-two".