414120111257 has 2 divisors, whose sum is σ = 414120111258. Its totient is φ = 414120111256.

The previous prime is 414120111211. The next prime is 414120111269. The reversal of 414120111257 is 752111021414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265385704336 + 148734406921 = 515156^2 + 385661^2 .

It is a cyclic number.

It is not a de Polignac number, because 414120111257 - 2⁶ = 414120111193 is a prime.

It is not a weakly prime, because it can be changed into another prime (414120116257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207060055628 + 207060055629.

It is an arithmetic number, because the mean of its divisors is an integer number (207060055629).

Almost surely, 2^414120111257 is an apocalyptic number.

It is an amenable number.

414120111257 is a deficient number, since it is larger than the sum of its proper divisors (1).

414120111257 is an equidigital number, since it uses as much as digits as its factorization.

414120111257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 29.

The spelling of 414120111257 in words is "four hundred fourteen billion, one hundred twenty million, one hundred eleven thousand, two hundred fifty-seven".