414344420167 has 2 divisors, whose sum is σ = 414344420168. Its totient is φ = 414344420166.

The previous prime is 414344420129. The next prime is 414344420177. The reversal of 414344420167 is 761024443414.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414344420167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414344420177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207172210083 + 207172210084.

It is an arithmetic number, because the mean of its divisors is an integer number (207172210084).

Almost surely, 2^414344420167 is an apocalyptic number.

414344420167 is a deficient number, since it is larger than the sum of its proper divisors (1).

414344420167 is an equidigital number, since it uses as much as digits as its factorization.

414344420167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 414344420167 in words is "four hundred fourteen billion, three hundred forty-four million, four hundred twenty thousand, one hundred sixty-seven".