8800417509241 has 2 divisors, whose sum is σ = 8800417509242. Its totient is φ = 8800417509240.

The previous prime is 8800417509223. The next prime is 8800417509293. The reversal of 8800417509241 is 1429057140088.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8588445666025 + 211971843216 = 2930605^2 + 460404^2 .

It is a cyclic number.

It is not a de Polignac number, because 8800417509241 - 2⁷ = 8800417509113 is a prime.

It is not a weakly prime, because it can be changed into another prime (8800417509641) 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, 4400208754620 + 4400208754621.

It is an arithmetic number, because the mean of its divisors is an integer number (4400208754621).

Almost surely, 2^{8800417509241} is an apocalyptic number.

It is an amenable number.

8800417509241 is a deficient number, since it is larger than the sum of its proper divisors (1).

8800417509241 is an equidigital number, since it uses as much as digits as its factorization.

8800417509241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 49.

The spelling of 8800417509241 in words is "eight trillion, eight hundred billion, four hundred seventeen million, five hundred nine thousand, two hundred forty-one".