414344420129 has 2 divisors, whose sum is σ = 414344420130. Its totient is φ = 414344420128.

The previous prime is 414344420123. The next prime is 414344420167. The reversal of 414344420129 is 921024443414.

It is an a-pointer prime, because the next prime (414344420167) can be obtained adding 414344420129 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 227934630625 + 186409789504 = 477425^2 + 431752^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414344420129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414344420092 and 414344420101.

It is not a weakly prime, because it can be changed into another prime (414344420123) 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, 207172210064 + 207172210065.

It is an arithmetic number, because the mean of its divisors is an integer number (207172210065).

Almost surely, 2^414344420129 is an apocalyptic number.

It is an amenable number.

414344420129 is a deficient number, since it is larger than the sum of its proper divisors (1).

414344420129 is an equidigital number, since it uses as much as digits as its factorization.

414344420129 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 414344420129 in words is "four hundred fourteen billion, three hundred forty-four million, four hundred twenty thousand, one hundred twenty-nine".