414431252129 has 2 divisors, whose sum is σ = 414431252130. Its totient is φ = 414431252128.

The previous prime is 414431252117. The next prime is 414431252153. The reversal of 414431252129 is 921252134414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308272579729 + 106158672400 = 555223^2 + 325820^2 .

It is a cyclic number.

It is not a de Polignac number, because 414431252129 - 2²⁰ = 414430203553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414431252092 and 414431252101.

It is not a weakly prime, because it can be changed into another prime (414431257129) 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, 207215626064 + 207215626065.

It is an arithmetic number, because the mean of its divisors is an integer number (207215626065).

Almost surely, 2^414431252129 is an apocalyptic number.

It is an amenable number.

414431252129 is a deficient number, since it is larger than the sum of its proper divisors (1).

414431252129 is an equidigital number, since it uses as much as digits as its factorization.

414431252129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69120, while the sum is 38.

The spelling of 414431252129 in words is "four hundred fourteen billion, four hundred thirty-one million, two hundred fifty-two thousand, one hundred twenty-nine".