404410232122241 has 2 divisors, whose sum is σ = 404410232122242. Its totient is φ = 404410232122240.

The previous prime is 404410232122187. The next prime is 404410232122243. The reversal of 404410232122241 is 142221232014404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 359537382483841 + 44872849638400 = 18961471^2 + 6698720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-404410232122241 is a prime.

Together with 404410232122243, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 404410232122198 and 404410232122207.

It is not a weakly prime, because it can be changed into another prime (404410232122243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202205116061120 + 202205116061121.

It is an arithmetic number, because the mean of its divisors is an integer number (202205116061121).

Almost surely, 2^{404410232122241} is an apocalyptic number.

It is an amenable number.

404410232122241 is a deficient number, since it is larger than the sum of its proper divisors (1).

404410232122241 is an equidigital number, since it uses as much as digits as its factorization.

404410232122241 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 32.

Adding to 404410232122241 its reverse (142221232014404), we get a palindrome (546631464136645).

The spelling of 404410232122241 in words is "four hundred four trillion, four hundred ten billion, two hundred thirty-two million, one hundred twenty-two thousand, two hundred forty-one".