4113414167 has 2 divisors, whose sum is σ = 4113414168. Its totient is φ = 4113414166.

The previous prime is 4113414133. The next prime is 4113414169. The reversal of 4113414167 is 7614143114.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4113414167 is a prime.

It is a super-2 number, since 2×4113414167² = 33840352218552607778, which contains 22 as substring.

Together with 4113414169, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4113414169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2056707083 + 2056707084.

It is an arithmetic number, because the mean of its divisors is an integer number (2056707084).

Almost surely, 2^4113414167 is an apocalyptic number.

4113414167 is a deficient number, since it is larger than the sum of its proper divisors (1).

4113414167 is an equidigital number, since it uses as much as digits as its factorization.

4113414167 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 32.

The square root of 4113414167 is about 64135.9038838621. The cubic root of 4113414167 is about 1602.2642638432.

The spelling of 4113414167 in words is "four billion, one hundred thirteen million, four hundred fourteen thousand, one hundred sixty-seven".