404023311037441 has 2 divisors, whose sum is σ = 404023311037442. Its totient is φ = 404023311037440.

The previous prime is 404023311037361. The next prime is 404023311037471. The reversal of 404023311037441 is 144730113320404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 328744764942400 + 75278546095041 = 18131320^2 + 8676321^2 .

It is a cyclic number.

It is not a de Polignac number, because 404023311037441 - 2¹³ = 404023311029249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404023311037441.

It is not a weakly prime, because it can be changed into another prime (404023311037471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202011655518720 + 202011655518721.

It is an arithmetic number, because the mean of its divisors is an integer number (202011655518721).

Almost surely, 2^{404023311037441} is an apocalyptic number.

It is an amenable number.

404023311037441 is a deficient number, since it is larger than the sum of its proper divisors (1).

404023311037441 is an equidigital number, since it uses as much as digits as its factorization.

404023311037441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 37.

Adding to 404023311037441 its reverse (144730113320404), we get a palindrome (548753424357845).

The spelling of 404023311037441 in words is "four hundred four trillion, twenty-three billion, three hundred eleven million, thirty-seven thousand, four hundred forty-one".