416165558401 has 2 divisors, whose sum is σ = 416165558402. Its totient is φ = 416165558400.

The previous prime is 416165558381. The next prime is 416165558407. The reversal of 416165558401 is 104855561614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 339890166001 + 76275392400 = 583001^2 + 276180^2 .

It is a cyclic number.

It is not a de Polignac number, because 416165558401 - 2⁷ = 416165558273 is a prime.

It is a super-2 number, since 2×416165558401² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (416165558407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208082779200 + 208082779201.

It is an arithmetic number, because the mean of its divisors is an integer number (208082779201).

Almost surely, 2^416165558401 is an apocalyptic number.

It is an amenable number.

416165558401 is a deficient number, since it is larger than the sum of its proper divisors (1).

416165558401 is an equidigital number, since it uses as much as digits as its factorization.

416165558401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 416165558401 in words is "four hundred sixteen billion, one hundred sixty-five million, five hundred fifty-eight thousand, four hundred one".