34205432413241 has 2 divisors, whose sum is σ = 34205432413242. Its totient is φ = 34205432413240.

The previous prime is 34205432413193. The next prime is 34205432413247. The reversal of 34205432413241 is 14231423450243.

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., 23545834284025 + 10659598129216 = 4852405^2 + 3264904^2 .

It is an emirp because it is prime and its reverse (14231423450243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34205432413241 - 2³⁸ = 33930554506297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34205432413195 and 34205432413204.

It is not a weakly prime, because it can be changed into another prime (34205432413247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17102716206620 + 17102716206621.

It is an arithmetic number, because the mean of its divisors is an integer number (17102716206621).

Almost surely, 2^{34205432413241} is an apocalyptic number.

It is an amenable number.

34205432413241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34205432413241 is an equidigital number, since it uses as much as digits as its factorization.

34205432413241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 34205432413241 its reverse (14231423450243), we get a palindrome (48436855863484).

The spelling of 34205432413241 in words is "thirty-four trillion, two hundred five billion, four hundred thirty-two million, four hundred thirteen thousand, two hundred forty-one".