4042116927216 has 120 divisors (see below), whose sum is σ = 11467953347760. Its totient is φ = 1328929394688.

The previous prime is 4042116927203. The next prime is 4042116927241. The reversal of 4042116927216 is 6127296112404.

4042116927216 is a `hidden beast` number, since 4 + 0 + 421 + 1 + 6 + 9 + 2 + 7 + 216 = 666.

4042116927216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4042116927216² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3598795 + ... + 4586453.

It is an arithmetic number, because the mean of its divisors is an integer number (95566277898).

Almost surely, 2^{4042116927216} 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 4042116927216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733976673880).

4042116927216 is an abundant number, since it is smaller than the sum of its proper divisors (7425836420544).

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

4042116927216 is a wasteful number, since it uses less digits than its factorization.

4042116927216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988063 (or 988054 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4042116927216 in words is "four trillion, forty-two billion, one hundred sixteen million, nine hundred twenty-seven thousand, two hundred sixteen".