401364401 has 2 divisors, whose sum is σ = 401364402. Its totient is φ = 401364400.

The previous prime is 401364343. The next prime is 401364449. The reversal of 401364401 is 104463104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400800400 + 564001 = 20020^2 + 751^2 .

It is a cyclic number.

It is not a de Polignac number, because 401364401 - 2¹⁰ = 401363377 is a prime.

It is a super-2 number, since 2×401364401² = 322186764780177602, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (401364701) 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 as a sum of consecutive naturals, namely, 200682200 + 200682201.

It is an arithmetic number, because the mean of its divisors is an integer number (200682201).

Almost surely, 2^401364401 is an apocalyptic number.

It is an amenable number.

401364401 is a deficient number, since it is larger than the sum of its proper divisors (1).

401364401 is an equidigital number, since it uses as much as digits as its factorization.

401364401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 401364401 is about 20034.0809871579. The cubic root of 401364401 is about 737.6430983841.

The spelling of 401364401 in words is "four hundred one million, three hundred sixty-four thousand, four hundred one".