42176817216 has 126 divisors (see below), whose sum is σ = 128422358090. Its totient is φ = 13231890432.

The previous prime is 42176817191. The next prime is 42176817227. The reversal of 42176817216 is 61271867124.

42176817216 is a `hidden beast` number, since 421 + 7 + 6 + 8 + 1 + 7 + 216 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6772631616 + 35404185600 = 82296^2 + 188160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39780 + ... + 293148.

Almost surely, 2^42176817216 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 42176817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64211179045).

42176817216 is an abundant number, since it is smaller than the sum of its proper divisors (86245540874).

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

42176817216 is a wasteful number, since it uses less digits than its factorization.

42176817216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253421 (or 253391 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 42176817216 in words is "forty-two billion, one hundred seventy-six million, eight hundred seventeen thousand, two hundred sixteen".