4012417721057 has 2 divisors, whose sum is σ = 4012417721058. Its totient is φ = 4012417721056.

The previous prime is 4012417721051. The next prime is 4012417721071. The reversal of 4012417721057 is 7501277142104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3038359261921 + 974058459136 = 1743089^2 + 986944^2 .

It is a cyclic number.

It is not a de Polignac number, because 4012417721057 - 2⁴⁰ = 2912906093281 is a prime.

It is a super-2 number, since 2×4012417721057² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4012417721051) 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, 2006208860528 + 2006208860529.

It is an arithmetic number, because the mean of its divisors is an integer number (2006208860529).

Almost surely, 2^{4012417721057} is an apocalyptic number.

It is an amenable number.

4012417721057 is a deficient number, since it is larger than the sum of its proper divisors (1).

4012417721057 is an equidigital number, since it uses as much as digits as its factorization.

4012417721057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 109760, while the sum is 41.

The spelling of 4012417721057 in words is "four trillion, twelve billion, four hundred seventeen million, seven hundred twenty-one thousand, fifty-seven".