42597761472 has 336 divisors, whose sum is σ = 143894080512. Its totient is φ = 11795189760.

The previous prime is 42597761449. The next prime is 42597761489. The reversal of 42597761472 is 27416779524.

42597761472 is a `hidden beast` number, since 4 + 2 + 597 + 7 + 6 + 1 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27606333 + ... + 27607875.

It is an arithmetic number, because the mean of its divisors is an integer number (428256192).

Almost surely, 2^42597761472 is an apocalyptic number.

42597761472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42597761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71947040256).

42597761472 is an abundant number, since it is smaller than the sum of its proper divisors (101296319040).

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

42597761472 is a wasteful number, since it uses less digits than its factorization.

42597761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1763 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 42597761472 in words is "forty-two billion, five hundred ninety-seven million, seven hundred sixty-one thousand, four hundred seventy-two".