34440122421361 has 2 divisors, whose sum is σ = 34440122421362. Its totient is φ = 34440122421360.

The previous prime is 34440122421343. The next prime is 34440122421443. The reversal of 34440122421361 is 16312422104443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31342575221136 + 3097547200225 = 5598444^2 + 1759985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34440122421361 is a prime.

It is a super-2 number, since 2×34440122421361² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34440122421361.

It is not a weakly prime, because it can be changed into another prime (34440122421461) 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, 17220061210680 + 17220061210681.

It is an arithmetic number, because the mean of its divisors is an integer number (17220061210681).

Almost surely, 2^{34440122421361} is an apocalyptic number.

It is an amenable number.

34440122421361 is a deficient number, since it is larger than the sum of its proper divisors (1).

34440122421361 is an equidigital number, since it uses as much as digits as its factorization.

34440122421361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 34440122421361 in words is "thirty-four trillion, four hundred forty billion, one hundred twenty-two million, four hundred twenty-one thousand, three hundred sixty-one".