4004164216116 has 72 divisors (see below), whose sum is σ = 10230002983200. Its totient is φ = 1320468609600.

The previous prime is 4004164216109. The next prime is 4004164216133. The reversal of 4004164216116 is 6116124614004.

4004164216116 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 1 + 642 + 1 + 6 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1811691 + ... + 3360141.

Almost surely, 2^{4004164216116} is an apocalyptic number.

It is an amenable number.

4004164216116 is an abundant number, since it is smaller than the sum of its proper divisors (6225838767084).

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

4004164216116 is a wasteful number, since it uses less digits than its factorization.

4004164216116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549229 (or 1549224 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 4004164216116 in words is "four trillion, four billion, one hundred sixty-four million, two hundred sixteen thousand, one hundred sixteen".