414013121057 has 2 divisors, whose sum is σ = 414013121058. Its totient is φ = 414013121056.

The previous prime is 414013121003. The next prime is 414013121077. The reversal of 414013121057 is 750121310414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408105046561 + 5908074496 = 638831^2 + 76864^2 .

It is a cyclic number.

It is not a de Polignac number, because 414013121057 - 2³⁶ = 345293644321 is a prime.

It is not a weakly prime, because it can be changed into another prime (414013121077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207006560528 + 207006560529.

It is an arithmetic number, because the mean of its divisors is an integer number (207006560529).

Almost surely, 2^414013121057 is an apocalyptic number.

It is an amenable number.

414013121057 is a deficient number, since it is larger than the sum of its proper divisors (1).

414013121057 is an equidigital number, since it uses as much as digits as its factorization.

414013121057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 414013121057 in words is "four hundred fourteen billion, thirteen million, one hundred twenty-one thousand, fifty-seven".