334411304401 has 2 divisors, whose sum is σ = 334411304402. Its totient is φ = 334411304400.

The previous prime is 334411304399. The next prime is 334411304687. The reversal of 334411304401 is 104403114433.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 334342994176 + 68310225 = 578224^2 + 8265^2 .

It is an emirp because it is prime and its reverse (104403114433) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 334411304401 - 2¹ = 334411304399 is a prime.

It is a super-2 number, since 2×334411304401² (a number of 24 digits) contains 22 as substring.

Together with 334411304399, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 334411304401.

It is not a weakly prime, because it can be changed into another prime (334411307401) 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 as a sum of consecutive naturals, namely, 167205652200 + 167205652201.

It is an arithmetic number, because the mean of its divisors is an integer number (167205652201).

Almost surely, 2^334411304401 is an apocalyptic number.

It is an amenable number.

334411304401 is a deficient number, since it is larger than the sum of its proper divisors (1).

334411304401 is an equidigital number, since it uses as much as digits as its factorization.

334411304401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 334411304401 its reverse (104403114433), we get a palindrome (438814418834).

The spelling of 334411304401 in words is "three hundred thirty-four billion, four hundred eleven million, three hundred four thousand, four hundred one".