42874133232 has 240 divisors, whose sum is σ = 134172960000. Its totient is φ = 11554762752.

The previous prime is 42874133191. The next prime is 42874133287. The reversal of 42874133232 is 23233147824.

It is a nude number because it is divisible by every one of its digits.

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, 34326144 + ... + 34327392.

It is an arithmetic number, because the mean of its divisors is an integer number (559054000).

Almost surely, 2^42874133232 is an apocalyptic number.

42874133232 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 42874133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67086480000).

42874133232 is an abundant number, since it is smaller than the sum of its proper divisors (91298826768).

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

42874133232 is a wasteful number, since it uses less digits than its factorization.

42874133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1563 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The spelling of 42874133232 in words is "forty-two billion, eight hundred seventy-four million, one hundred thirty-three thousand, two hundred thirty-two".