42685200972 has 72 divisors (see below), whose sum is σ = 108513765360. Its totient is φ = 14147527680.

The previous prime is 42685200967. The next prime is 42685200989. The reversal of 42685200972 is 27900258624.

42685200972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42685200972³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4716772 + ... + 4725812.

It is an arithmetic number, because the mean of its divisors is an integer number (1507135630).

Almost surely, 2^42685200972 is an apocalyptic number.

It is an amenable number.

42685200972 is an abundant number, since it is smaller than the sum of its proper divisors (65828564388).

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

42685200972 is a wasteful number, since it uses less digits than its factorization.

42685200972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9783 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42685200972 in words is "forty-two billion, six hundred eighty-five million, two hundred thousand, nine hundred seventy-two".