404444031104341 has 2 divisors, whose sum is σ = 404444031104342. Its totient is φ = 404444031104340.

The previous prime is 404444031104287. The next prime is 404444031104357. The reversal of 404444031104341 is 143401130444404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301235803973316 + 103208227131025 = 17356146^2 + 10159145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-404444031104341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404444031104341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404444031104041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202222015552170 + 202222015552171.

It is an arithmetic number, because the mean of its divisors is an integer number (202222015552171).

Almost surely, 2^{404444031104341} is an apocalyptic number.

It is an amenable number.

404444031104341 is a deficient number, since it is larger than the sum of its proper divisors (1).

404444031104341 is an equidigital number, since it uses as much as digits as its factorization.

404444031104341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 404444031104341 its reverse (143401130444404), we get a palindrome (547845161548745).

The spelling of 404444031104341 in words is "four hundred four trillion, four hundred forty-four billion, thirty-one million, one hundred four thousand, three hundred forty-one".