417801646081 has 2 divisors, whose sum is σ = 417801646082. Its totient is φ = 417801646080.

The previous prime is 417801646069. The next prime is 417801646121. The reversal of 417801646081 is 180646108714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 416294653681 + 1506992400 = 645209^2 + 38820^2 .

It is a cyclic number.

It is not a de Polignac number, because 417801646081 - 2³⁷ = 280362692609 is a prime.

It is a super-2 number, since 2×417801646081² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (417801646981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208900823040 + 208900823041.

It is an arithmetic number, because the mean of its divisors is an integer number (208900823041).

Almost surely, 2^417801646081 is an apocalyptic number.

It is an amenable number.

417801646081 is a deficient number, since it is larger than the sum of its proper divisors (1).

417801646081 is an equidigital number, since it uses as much as digits as its factorization.

417801646081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 258048, while the sum is 46.

It can be divided in two parts, 41780 and 1646081, that added together give a palindrome (1687861).

The spelling of 417801646081 in words is "four hundred seventeen billion, eight hundred one million, six hundred forty-six thousand, eighty-one".