417045406289 has 2 divisors, whose sum is σ = 417045406290. Its totient is φ = 417045406288.

The previous prime is 417045406277. The next prime is 417045406321. The reversal of 417045406289 is 982604540714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257285316289 + 159760090000 = 507233^2 + 399700^2 .

It is a cyclic number.

It is not a de Polignac number, because 417045406289 - 2¹⁶ = 417045340753 is a prime.

It is not a weakly prime, because it can be changed into another prime (417045406259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208522703144 + 208522703145.

It is an arithmetic number, because the mean of its divisors is an integer number (208522703145).

Almost surely, 2^417045406289 is an apocalyptic number.

It is an amenable number.

417045406289 is a deficient number, since it is larger than the sum of its proper divisors (1).

417045406289 is an equidigital number, since it uses as much as digits as its factorization.

417045406289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 417045406289 in words is "four hundred seventeen billion, forty-five million, four hundred six thousand, two hundred eighty-nine".