334332312413041 has 2 divisors, whose sum is σ = 334332312413042. Its totient is φ = 334332312413040.

The previous prime is 334332312413039. The next prime is 334332312413087. The reversal of 334332312413041 is 140314213233433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 334269551641600 + 62760771441 = 18283040^2 + 250521^2 .

It is a cyclic number.

It is not a de Polignac number, because 334332312413041 - 2¹ = 334332312413039 is a prime.

It is a super-2 number, since 2×334332312413041² (a number of 30 digits) contains 22 as substring.

Together with 334332312413039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (334332312414041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167166156206520 + 167166156206521.

It is an arithmetic number, because the mean of its divisors is an integer number (167166156206521).

Almost surely, 2^{334332312413041} is an apocalyptic number.

It is an amenable number.

334332312413041 is a deficient number, since it is larger than the sum of its proper divisors (1).

334332312413041 is an equidigital number, since it uses as much as digits as its factorization.

334332312413041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 37.

Adding to 334332312413041 its reverse (140314213233433), we get a palindrome (474646525646474).

The spelling of 334332312413041 in words is "three hundred thirty-four trillion, three hundred thirty-two billion, three hundred twelve million, four hundred thirteen thousand, forty-one".