417986817361 has 3 divisors (see below), whose sum is σ = 417987463881. Its totient is φ = 417986170842.

The previous prime is 417986817323. The next prime is 417986817371. The reversal of 417986817361 is 163718689714.

The square root of 417986817361 is 646519.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 417986817361 - 2¹³ = 417986809169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 417986817361.

It is not an unprimeable number, because it can be changed into a prime (417986817301) 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 in 2 ways as a sum of consecutive naturals, for example, 323260 + ... + 969778.

It is an arithmetic number, because the mean of its divisors is an integer number (139329154627).

Almost surely, 2^417986817361 is an apocalyptic number.

417986817361 is the 646519-th square number.

417986817361 is the 323260-th centered octagonal number.

It is an amenable number.

417986817361 is a deficient number, since it is larger than the sum of its proper divisors (646520).

417986817361 is an frugal number, since it uses more digits than its factorization.

417986817361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293038 (or 646519 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 61.

The spelling of 417986817361 in words is "four hundred seventeen billion, nine hundred eighty-six million, eight hundred seventeen thousand, three hundred sixty-one".