42875857824 has 192 divisors, whose sum is σ = 122992732800. Its totient is φ = 13026521088.

The previous prime is 42875857807. The next prime is 42875857831.

42875857824 is nontrivially palindromic in base 10.

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, 16766754 + ... + 16769310.

It is an arithmetic number, because the mean of its divisors is an integer number (640587150).

Almost surely, 2^42875857824 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 42875857824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61496366400).

42875857824 is an abundant number, since it is smaller than the sum of its proper divisors (80116874976).

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

42875857824 is a wasteful number, since it uses less digits than its factorization.

42875857824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2927 counting only the distinct ones).

The product of its digits is 40140800, while the sum is 60.

The spelling of 42875857824 in words is "forty-two billion, eight hundred seventy-five million, eight hundred fifty-seven thousand, eight hundred twenty-four".