214405141410329 has 2 divisors, whose sum is σ = 214405141410330. Its totient is φ = 214405141410328.

The previous prime is 214405141410281. The next prime is 214405141410353. The reversal of 214405141410329 is 923014141504412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178315962250000 + 36089179160329 = 13353500^2 + 6007427^2 .

It is a cyclic number.

It is not a de Polignac number, because 214405141410329 - 2¹² = 214405141406233 is a prime.

It is a super-3 number, since 3×214405141410329³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (214405141310329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107202570705164 + 107202570705165.

It is an arithmetic number, because the mean of its divisors is an integer number (107202570705165).

Almost surely, 2^{214405141410329} is an apocalyptic number.

It is an amenable number.

214405141410329 is a deficient number, since it is larger than the sum of its proper divisors (1).

214405141410329 is an equidigital number, since it uses as much as digits as its factorization.

214405141410329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 214405141410329 in words is "two hundred fourteen trillion, four hundred five billion, one hundred forty-one million, four hundred ten thousand, three hundred twenty-nine".