414412020210289 has 2 divisors, whose sum is σ = 414412020210290. Its totient is φ = 414412020210288.

The previous prime is 414412020210193. The next prime is 414412020210299. The reversal of 414412020210289 is 982012020214414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372080952360000 + 42331067850289 = 19289400^2 + 6506233^2 .

It is a cyclic number.

It is not a de Polignac number, because 414412020210289 - 2³⁵ = 414377660471921 is a prime.

It is not a weakly prime, because it can be changed into another prime (414412020210299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207206010105144 + 207206010105145.

It is an arithmetic number, because the mean of its divisors is an integer number (207206010105145).

Almost surely, 2^{414412020210289} is an apocalyptic number.

It is an amenable number.

414412020210289 is a deficient number, since it is larger than the sum of its proper divisors (1).

414412020210289 is an equidigital number, since it uses as much as digits as its factorization.

414412020210289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 414412020210289 in words is "four hundred fourteen trillion, four hundred twelve billion, twenty million, two hundred ten thousand, two hundred eighty-nine".