344314004132041 has 2 divisors, whose sum is σ = 344314004132042. Its totient is φ = 344314004132040.

The previous prime is 344314004132023. The next prime is 344314004132051. The reversal of 344314004132041 is 140231400413443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 339609464822016 + 4704539310025 = 18428496^2 + 2168995^2 .

It is a cyclic number.

It is not a de Polignac number, because 344314004132041 - 2⁵ = 344314004132009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344314004131988 and 344314004132006.

It is not a weakly prime, because it can be changed into another prime (344314004132051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172157002066020 + 172157002066021.

It is an arithmetic number, because the mean of its divisors is an integer number (172157002066021).

Almost surely, 2^{344314004132041} is an apocalyptic number.

It is an amenable number.

344314004132041 is a deficient number, since it is larger than the sum of its proper divisors (1).

344314004132041 is an equidigital number, since it uses as much as digits as its factorization.

344314004132041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 344314004132041 its reverse (140231400413443), we get a palindrome (484545404545484).

The spelling of 344314004132041 in words is "three hundred forty-four trillion, three hundred fourteen billion, four million, one hundred thirty-two thousand, forty-one".