34123310411441 has 2 divisors, whose sum is σ = 34123310411442. Its totient is φ = 34123310411440.

The previous prime is 34123310411419. The next prime is 34123310411459. The reversal of 34123310411441 is 14411401332143.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33554168419216 + 569141992225 = 5792596^2 + 754415^2 .

It is a cyclic number.

It is not a de Polignac number, because 34123310411441 - 2²² = 34123306217137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34123310411398 and 34123310411407.

It is not a weakly prime, because it can be changed into another prime (34123310411471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061655205720 + 17061655205721.

It is an arithmetic number, because the mean of its divisors is an integer number (17061655205721).

Almost surely, 2^{34123310411441} is an apocalyptic number.

It is an amenable number.

34123310411441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34123310411441 is an equidigital number, since it uses as much as digits as its factorization.

34123310411441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 34123310411441 its reverse (14411401332143), we get a palindrome (48534711743584).

The spelling of 34123310411441 in words is "thirty-four trillion, one hundred twenty-three billion, three hundred ten million, four hundred eleven thousand, four hundred forty-one".