404972349361 has 2 divisors, whose sum is σ = 404972349362. Its totient is φ = 404972349360.

The previous prime is 404972349349. The next prime is 404972349367. The reversal of 404972349361 is 163943279404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 321127355761 + 83844993600 = 566681^2 + 289560^2 .

It is a cyclic number.

It is not a de Polignac number, because 404972349361 - 2¹¹ = 404972347313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404972349299 and 404972349308.

It is not a weakly prime, because it can be changed into another prime (404972349367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202486174680 + 202486174681.

It is an arithmetic number, because the mean of its divisors is an integer number (202486174681).

Almost surely, 2^404972349361 is an apocalyptic number.

It is an amenable number.

404972349361 is a deficient number, since it is larger than the sum of its proper divisors (1).

404972349361 is an equidigital number, since it uses as much as digits as its factorization.

404972349361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 404972349361 in words is "four hundred four billion, nine hundred seventy-two million, three hundred forty-nine thousand, three hundred sixty-one".