414111431 has 2 divisors, whose sum is σ = 414111432. Its totient is φ = 414111430.

The previous prime is 414111421. The next prime is 414111433. The reversal of 414111431 is 134111414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414111431 - 2¹⁴ = 414095047 is a prime.

It is a super-2 number, since 2×414111431² = 342976554569735522, which contains 22 as substring.

Together with 414111433, 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 (414111433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207055715 + 207055716.

It is an arithmetic number, because the mean of its divisors is an integer number (207055716).

Almost surely, 2^414111431 is an apocalyptic number.

414111431 is a deficient number, since it is larger than the sum of its proper divisors (1).

414111431 is an equidigital number, since it uses as much as digits as its factorization.

414111431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 20.

The square root of 414111431 is about 20349.7280325807. The cubic root of 414111431 is about 745.3708533037.

Adding to 414111431 its reverse (134111414), we get a palindrome (548222845).

The spelling of 414111431 in words is "four hundred fourteen million, one hundred eleven thousand, four hundred thirty-one".