42007188816 has 80 divisors (see below), whose sum is σ = 120940880320. Its totient is φ = 13960045440.

The previous prime is 42007188791. The next prime is 42007188871. The reversal of 42007188816 is 61888170024.

42007188816 is a `hidden beast` number, since 420 + 0 + 71 + 88 + 81 + 6 = 666.

42007188816 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3895 + ... + 289878.

It is an arithmetic number, because the mean of its divisors is an integer number (1511761004).

Almost surely, 2^42007188816 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 42007188816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60470440160).

42007188816 is an abundant number, since it is smaller than the sum of its proper divisors (78933691504).

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

42007188816 is a wasteful number, since it uses less digits than its factorization.

42007188816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294121 (or 294109 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 42007188816 in words is "forty-two billion, seven million, one hundred eighty-eight thousand, eight hundred sixteen".