417398840321 has 4 divisors (see below), whose sum is σ = 419704911444. Its totient is φ = 415092769200.

The previous prime is 417398840281. The next prime is 417398840347. The reversal of 417398840321 is 123048893714.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 123048893714 = 2 ⋅61524446857.

It can be written as a sum of positive squares in 2 ways, for example, as 4547614096 + 412851226225 = 67436^2 + 642535^2 .

It is a cyclic number.

It is not a de Polignac number, because 417398840321 - 2²⁶ = 417331731457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 417398840321.

It is not an unprimeable number, because it can be changed into a prime (417398842321) 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 in 3 ways as a sum of consecutive naturals, for example, 1153035290 + ... + 1153035651.

It is an arithmetic number, because the mean of its divisors is an integer number (104926227861).

Almost surely, 2^417398840321 is an apocalyptic number.

It is an amenable number.

417398840321 is a deficient number, since it is larger than the sum of its proper divisors (2306071123).

417398840321 is a wasteful number, since it uses less digits than its factorization.

417398840321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306071122.

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 417398840321 in words is "four hundred seventeen billion, three hundred ninety-eight million, eight hundred forty thousand, three hundred twenty-one".