417720417241 has 2 divisors, whose sum is σ = 417720417242. Its totient is φ = 417720417240.

The previous prime is 417720417211. The next prime is 417720417263. The reversal of 417720417241 is 142714027714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318812683225 + 98907734016 = 564635^2 + 314496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-417720417241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 417720417194 and 417720417203.

It is not a weakly prime, because it can be changed into another prime (417720417211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208860208620 + 208860208621.

It is an arithmetic number, because the mean of its divisors is an integer number (208860208621).

Almost surely, 2^417720417241 is an apocalyptic number.

It is an amenable number.

417720417241 is a deficient number, since it is larger than the sum of its proper divisors (1).

417720417241 is an equidigital number, since it uses as much as digits as its factorization.

417720417241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 87808, while the sum is 40.

The spelling of 417720417241 in words is "four hundred seventeen billion, seven hundred twenty million, four hundred seventeen thousand, two hundred forty-one".