34123324241041 has 48 divisors (see below), whose sum is σ = 42270949768320. Its totient is φ = 26963805968640.

The previous prime is 34123324240963. The next prime is 34123324241051. The reversal of 34123324241041 is 14014242332143.

It is not a de Polignac number, because 34123324241041 - 2⁹ = 34123324240529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34123324240988 and 34123324241006.

It is not an unprimeable number, because it can be changed into a prime (34123324241051) 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 in 47 ways as a sum of consecutive naturals, for example, 39879790 + ... + 40726456.

It is an arithmetic number, because the mean of its divisors is an integer number (880644786840).

Almost surely, 2^{34123324241041} is an apocalyptic number.

It is an amenable number.

34123324241041 is a deficient number, since it is larger than the sum of its proper divisors (8147625527279).

34123324241041 is a wasteful number, since it uses less digits than its factorization.

34123324241041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847142 (or 847123 counting only the distinct ones).

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

Adding to 34123324241041 its reverse (14014242332143), we get a palindrome (48137566573184).

The spelling of 34123324241041 in words is "thirty-four trillion, one hundred twenty-three billion, three hundred twenty-four million, two hundred forty-one thousand, forty-one".