42591708384 has 96 divisors (see below), whose sum is σ = 117188757504. Its totient is φ = 13518912000.

The previous prime is 42591708377. The next prime is 42591708389. The reversal of 42591708384 is 48380719524.

It is a happy number.

42591708384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42591708389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449134 + ... + 535634.

It is an arithmetic number, because the mean of its divisors is an integer number (1220716224).

Almost surely, 2^42591708384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42591708384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58594378752).

42591708384 is an abundant number, since it is smaller than the sum of its proper divisors (74597049120).

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

42591708384 is a wasteful number, since it uses less digits than its factorization.

42591708384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86760 (or 86752 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 42591708384 in words is "forty-two billion, five hundred ninety-one million, seven hundred eight thousand, three hundred eighty-four".