414234232042129 has 2 divisors, whose sum is σ = 414234232042130. Its totient is φ = 414234232042128.

The previous prime is 414234232042123. The next prime is 414234232042133. The reversal of 414234232042129 is 921240232432414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 339696305445904 + 74537926596225 = 18430852^2 + 8633535^2 .

It is a cyclic number.

It is not a de Polignac number, because 414234232042129 - 2²³ = 414234223653521 is a prime.

It is a super-3 number, since 3×414234232042129³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (414234232042123) 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 as a sum of consecutive naturals, namely, 207117116021064 + 207117116021065.

It is an arithmetic number, because the mean of its divisors is an integer number (207117116021065).

Almost surely, 2^{414234232042129} is an apocalyptic number.

It is an amenable number.

414234232042129 is a deficient number, since it is larger than the sum of its proper divisors (1).

414234232042129 is an equidigital number, since it uses as much as digits as its factorization.

414234232042129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 414234232042129 in words is "four hundred fourteen trillion, two hundred thirty-four billion, two hundred thirty-two million, forty-two thousand, one hundred twenty-nine".