800404442161 has 2 divisors, whose sum is σ = 800404442162. Its totient is φ = 800404442160.

The previous prime is 800404442141. The next prime is 800404442179. The reversal of 800404442161 is 161244404008.

800404442161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 569543411761 + 230861030400 = 754681^2 + 480480^2 .

It is a cyclic number.

It is not a de Polignac number, because 800404442161 - 2¹¹ = 800404440113 is a prime.

It is not a weakly prime, because it can be changed into another prime (800404442111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400202221080 + 400202221081.

It is an arithmetic number, because the mean of its divisors is an integer number (400202221081).

Almost surely, 2^800404442161 is an apocalyptic number.

It is an amenable number.

800404442161 is a deficient number, since it is larger than the sum of its proper divisors (1).

800404442161 is an equidigital number, since it uses as much as digits as its factorization.

800404442161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 800404442161 its reverse (161244404008), we get a palindrome (961648846169).

The spelling of 800404442161 in words is "eight hundred billion, four hundred four million, four hundred forty-two thousand, one hundred sixty-one".