404614663243321 has 2 divisors, whose sum is σ = 404614663243322. Its totient is φ = 404614663243320.

The previous prime is 404614663243303. The next prime is 404614663243337. The reversal of 404614663243321 is 123342366416404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404530194540096 + 84468703225 = 20112936^2 + 290635^2 .

It is a cyclic number.

It is not a de Polignac number, because 404614663243321 - 2³⁹ = 404064907429433 is a prime.

It is a super-3 number, since 3×404614663243321³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (404614663244321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202307331621660 + 202307331621661.

It is an arithmetic number, because the mean of its divisors is an integer number (202307331621661).

Almost surely, 2^{404614663243321} is an apocalyptic number.

It is an amenable number.

404614663243321 is a deficient number, since it is larger than the sum of its proper divisors (1).

404614663243321 is an equidigital number, since it uses as much as digits as its factorization.

404614663243321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5971968, while the sum is 49.

The spelling of 404614663243321 in words is "four hundred four trillion, six hundred fourteen billion, six hundred sixty-three million, two hundred forty-three thousand, three hundred twenty-one".