414014340329 has 2 divisors, whose sum is σ = 414014340330. Its totient is φ = 414014340328.

The previous prime is 414014340283. The next prime is 414014340343. The reversal of 414014340329 is 923043410414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412519744729 + 1494595600 = 642277^2 + 38660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414014340329 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (414014340349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207007170164 + 207007170165.

It is an arithmetic number, because the mean of its divisors is an integer number (207007170165).

Almost surely, 2^414014340329 is an apocalyptic number.

It is an amenable number.

414014340329 is a deficient number, since it is larger than the sum of its proper divisors (1).

414014340329 is an equidigital number, since it uses as much as digits as its factorization.

414014340329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 414014340329 in words is "four hundred fourteen billion, fourteen million, three hundred forty thousand, three hundred twenty-nine".