10034440412329 has 2 divisors, whose sum is σ = 10034440412330. Its totient is φ = 10034440412328.

The previous prime is 10034440412309. The next prime is 10034440412371. The reversal of 10034440412329 is 92321404443001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5663614627225 + 4370825785104 = 2379835^2 + 2090652^2 .

It is a cyclic number.

It is not a de Polignac number, because 10034440412329 - 2⁷ = 10034440412201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10034440412309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017220206164 + 5017220206165.

It is an arithmetic number, because the mean of its divisors is an integer number (5017220206165).

Almost surely, 2^{10034440412329} is an apocalyptic number.

It is an amenable number.

10034440412329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034440412329 is an equidigital number, since it uses as much as digits as its factorization.

10034440412329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 10034440412329 in words is "ten trillion, thirty-four billion, four hundred forty million, four hundred twelve thousand, three hundred twenty-nine".