42520413456 has 200 divisors, whose sum is σ = 128065981824. Its totient is φ = 13609140480.

The previous prime is 42520413449. The next prime is 42520413487. The reversal of 42520413456 is 65431402524.

42520413456 is a `hidden beast` number, since 42 + 520 + 41 + 3 + 4 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42520413456.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3221751 + ... + 3234921.

Almost surely, 2^42520413456 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 42520413456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64032990912).

42520413456 is an abundant number, since it is smaller than the sum of its proper divisors (85545568368).

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

42520413456 is a wasteful number, since it uses less digits than its factorization.

42520413456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42520413456 in words is "forty-two billion, five hundred twenty million, four hundred thirteen thousand, four hundred fifty-six".