42331865806720 has 256 divisors, whose sum is σ = 121133980569600. Its totient is φ = 13831130750976.

The previous prime is 42331865806709. The next prime is 42331865806753. The reversal of 42331865806720 is 2760856813324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26954137 + ... + 28481383.

It is an arithmetic number, because the mean of its divisors is an integer number (473179611600).

Almost surely, 2^{42331865806720} is an apocalyptic number.

42331865806720 is a gapful number since it is divisible by the number (40) 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 42331865806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60566990284800).

42331865806720 is an abundant number, since it is smaller than the sum of its proper divisors (78802114762880).

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

42331865806720 is a wasteful number, since it uses less digits than its factorization.

42331865806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527565 (or 1527553 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 42331865806720 in words is "forty-two trillion, three hundred thirty-one billion, eight hundred sixty-five million, eight hundred six thousand, seven hundred twenty".