414327013349 has 2 divisors, whose sum is σ = 414327013350. Its totient is φ = 414327013348.

The previous prime is 414327013277. The next prime is 414327013363. The reversal of 414327013349 is 943310723414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393894312100 + 20432701249 = 627610^2 + 142943^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414327013349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414327013649) 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, 207163506674 + 207163506675.

It is an arithmetic number, because the mean of its divisors is an integer number (207163506675).

Almost surely, 2^414327013349 is an apocalyptic number.

It is an amenable number.

414327013349 is a deficient number, since it is larger than the sum of its proper divisors (1).

414327013349 is an equidigital number, since it uses as much as digits as its factorization.

414327013349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 414327013349 in words is "four hundred fourteen billion, three hundred twenty-seven million, thirteen thousand, three hundred forty-nine".