4172116004107 has 16 divisors (see below), whose sum is σ = 4244865180192. Its totient is φ = 4099684596480.

The previous prime is 4172116004087. The next prime is 4172116004179. The reversal of 4172116004107 is 7014006112714.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4172116004107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4172116004807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59301183 + ... + 59371495.

It is an arithmetic number, because the mean of its divisors is an integer number (265304073762).

Almost surely, 2^{4172116004107} is an apocalyptic number.

4172116004107 is a deficient number, since it is larger than the sum of its proper divisors (72749176085).

4172116004107 is a wasteful number, since it uses less digits than its factorization.

4172116004107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72558.

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 4172116004107 in words is "four trillion, one hundred seventy-two billion, one hundred sixteen million, four thousand, one hundred seven".