414434131241231 has 2 divisors, whose sum is σ = 414434131241232. Its totient is φ = 414434131241230.

The previous prime is 414434131241191. The next prime is 414434131241239. The reversal of 414434131241231 is 132142131434414.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 414434131241231 - 2³⁰ = 414433057499407 is a prime.

It is a super-2 number, since 2×414434131241231² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414434131241239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207217065620615 + 207217065620616.

It is an arithmetic number, because the mean of its divisors is an integer number (207217065620616).

Almost surely, 2^{414434131241231} is an apocalyptic number.

414434131241231 is a deficient number, since it is larger than the sum of its proper divisors (1).

414434131241231 is an equidigital number, since it uses as much as digits as its factorization.

414434131241231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 38.

Adding to 414434131241231 its reverse (132142131434414), we get a palindrome (546576262675645).

The spelling of 414434131241231 in words is "four hundred fourteen trillion, four hundred thirty-four billion, one hundred thirty-one million, two hundred forty-one thousand, two hundred thirty-one".