4107091265167 has 16 divisors (see below), whose sum is σ = 4613041075104. Its totient is φ = 3624162304000.

The previous prime is 4107091265149. The next prime is 4107091265177. The reversal of 4107091265167 is 7615621907014.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4107091265167 is a prime.

It is a super-2 number, since 2×4107091265167² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4107091265167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4107091265177) 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, 23024434 + ... + 23202127.

It is an arithmetic number, because the mean of its divisors is an integer number (288315067194).

Almost surely, 2^{4107091265167} is an apocalyptic number.

4107091265167 is a deficient number, since it is larger than the sum of its proper divisors (505949809937).

4107091265167 is a wasteful number, since it uses less digits than its factorization.

4107091265167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46226810.

The product of its (nonzero) digits is 635040, while the sum is 49.

The spelling of 4107091265167 in words is "four trillion, one hundred seven billion, ninety-one million, two hundred sixty-five thousand, one hundred sixty-seven".