42575931216 has 480 divisors, whose sum is σ = 152546680832. Its totient is φ = 10783134720.

The previous prime is 42575931199. The next prime is 42575931217. The reversal of 42575931216 is 61213957524.

42575931216 is a `hidden beast` number, since 4 + 2 + 57 + 593 + 1 + 2 + 1 + 6 = 666.

42575931216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42575931217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66214191 + ... + 66214833.

Almost surely, 2^42575931216 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 42575931216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76273340416).

42575931216 is an abundant number, since it is smaller than the sum of its proper divisors (109970749616).

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

42575931216 is a wasteful number, since it uses less digits than its factorization.

42575931216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 42575931216 in words is "forty-two billion, five hundred seventy-five million, nine hundred thirty-one thousand, two hundred sixteen".