42500800524 has 144 divisors (see below), whose sum is σ = 124440707328. Its totient is φ = 11190275712.

The previous prime is 42500800523. The next prime is 42500800583.

42500800524 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42500800491 and 42500800500.

It is not an unprimeable number, because it can be changed into a prime (42500800523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4910769 + ... + 4919415.

Almost surely, 2^42500800524 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 42500800524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62220353664).

42500800524 is an abundant number, since it is smaller than the sum of its proper divisors (81939906804).

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

42500800524 is a wasteful number, since it uses less digits than its factorization.

42500800524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 9315 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 42500800524 in words is "forty-two billion, five hundred million, eight hundred thousand, five hundred twenty-four".