42505974756 has 144 divisors (see below), whose sum is σ = 126971772928. Its totient is φ = 11732817600.

The previous prime is 42505974751. The next prime is 42505974779. The reversal of 42505974756 is 65747950524.

It is a happy number.

42505974756 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 597 + 47 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (42505974751) 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, 4925061 + ... + 4933683.

Almost surely, 2^42505974756 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 42505974756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63485886464).

42505974756 is an abundant number, since it is smaller than the sum of its proper divisors (84465798172).

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

42505974756 is a wasteful number, since it uses less digits than its factorization.

42505974756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 42505974756 in words is "forty-two billion, five hundred five million, nine hundred seventy-four thousand, seven hundred fifty-six".