800444400401 has 2 divisors, whose sum is σ = 800444400402. Its totient is φ = 800444400400.

The previous prime is 800444400341. The next prime is 800444400403. The reversal of 800444400401 is 104004444008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 613754730625 + 186689669776 = 783425^2 + 432076^2 .

It is a cyclic number.

It is not a de Polignac number, because 800444400401 - 2¹⁴ = 800444384017 is a prime.

It is a super-2 number, since 2×800444400401² (a number of 25 digits) contains 22 as substring.

Together with 800444400403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (800444400403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400222200200 + 400222200201.

It is an arithmetic number, because the mean of its divisors is an integer number (400222200201).

Almost surely, 2^800444400401 is an apocalyptic number.

It is an amenable number.

800444400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

800444400401 is an equidigital number, since it uses as much as digits as its factorization.

800444400401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 800444400401 its reverse (104004444008), we get a palindrome (904448844409).

The spelling of 800444400401 in words is "eight hundred billion, four hundred forty-four million, four hundred thousand, four hundred one".