417462304000057 has 2 divisors, whose sum is σ = 417462304000058. Its totient is φ = 417462304000056.

The previous prime is 417462304000037. The next prime is 417462304000073. The reversal of 417462304000057 is 750000403264714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209801638289961 + 207660665710096 = 14484531^2 + 14410436^2 .

It is a cyclic number.

It is not a de Polignac number, because 417462304000057 - 2¹¹ = 417462303998009 is a prime.

It is a super-2 number, since 2×417462304000057² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 417462303999977 and 417462304000022.

It is not a weakly prime, because it can be changed into another prime (417462304000037) 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, 208731152000028 + 208731152000029.

It is an arithmetic number, because the mean of its divisors is an integer number (208731152000029).

Almost surely, 2^{417462304000057} is an apocalyptic number.

It is an amenable number.

417462304000057 is a deficient number, since it is larger than the sum of its proper divisors (1).

417462304000057 is an equidigital number, since it uses as much as digits as its factorization.

417462304000057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 417462304000057 in words is "four hundred seventeen trillion, four hundred sixty-two billion, three hundred four million, fifty-seven", and thus it is an aban number.