42508726115856 has 640 divisors, whose sum is σ = 149812763369472. Its totient is φ = 10028648448000.

The previous prime is 42508726115819. The next prime is 42508726115857. The reversal of 42508726115856 is 65851162780524.

It is a super-2 number, since 2×42508726115856² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42508726115856.

It is not an unprimeable number, because it can be changed into a prime (42508726115857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1777331610 + ... + 1777355526.

Almost surely, 2^{42508726115856} 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 42508726115856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74906381684736).

42508726115856 is an abundant number, since it is smaller than the sum of its proper divisors (107304037253616).

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

42508726115856 is a wasteful number, since it uses less digits than its factorization.

42508726115856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24551 (or 24545 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 60.

The spelling of 42508726115856 in words is "forty-two trillion, five hundred eight billion, seven hundred twenty-six million, one hundred fifteen thousand, eight hundred fifty-six".