34122324444041 has 2 divisors, whose sum is σ = 34122324444042. Its totient is φ = 34122324444040.

The previous prime is 34122324443989. The next prime is 34122324444097. The reversal of 34122324444041 is 14044442322143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27011968868416 + 7110355575625 = 5197304^2 + 2666525^2 .

It is an emirp because it is prime and its reverse (14044442322143) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34122324444041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34122324443986 and 34122324444004.

It is not a weakly prime, because it can be changed into another prime (34122324444841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061162222020 + 17061162222021.

It is an arithmetic number, because the mean of its divisors is an integer number (17061162222021).

Almost surely, 2^{34122324444041} is an apocalyptic number.

It is an amenable number.

34122324444041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34122324444041 is an equidigital number, since it uses as much as digits as its factorization.

34122324444041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 34122324444041 its reverse (14044442322143), we get a palindrome (48166766766184).

The spelling of 34122324444041 in words is "thirty-four trillion, one hundred twenty-two billion, three hundred twenty-four million, four hundred forty-four thousand, forty-one".