414013443953 has 2 divisors, whose sum is σ = 414013443954. Its totient is φ = 414013443952.

The previous prime is 414013443929. The next prime is 414013444043. The reversal of 414013443953 is 359344310414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249228595984 + 164784847969 = 499228^2 + 405937^2 .

It is a cyclic number.

It is not a de Polignac number, because 414013443953 - 2³⁰ = 412939702129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 414013443953.

It is not a weakly prime, because it can be changed into another prime (414013443923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207006721976 + 207006721977.

It is an arithmetic number, because the mean of its divisors is an integer number (207006721977).

Almost surely, 2^414013443953 is an apocalyptic number.

It is an amenable number.

414013443953 is a deficient number, since it is larger than the sum of its proper divisors (1).

414013443953 is an equidigital number, since it uses as much as digits as its factorization.

414013443953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 414013443953 in words is "four hundred fourteen billion, thirteen million, four hundred forty-three thousand, nine hundred fifty-three".