42513385824 has 216 divisors, whose sum is σ = 149615614512. Its totient is φ = 11212231680.

The previous prime is 42513385823. The next prime is 42513385879. The reversal of 42513385824 is 42858331524.

42513385824 is a `hidden beast` number, since 4 + 25 + 13 + 38 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42513385824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42513385823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278314 + ... + 403094.

It is an arithmetic number, because the mean of its divisors is an integer number (692664882).

Almost surely, 2^42513385824 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 42513385824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807807256).

42513385824 is an abundant number, since it is smaller than the sum of its proper divisors (107102228688).

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

42513385824 is a wasteful number, since it uses less digits than its factorization.

42513385824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124830 (or 124806 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 42513385824 in words is "forty-two billion, five hundred thirteen million, three hundred eighty-five thousand, eight hundred twenty-four".