4291928821217 has 2 divisors, whose sum is σ = 4291928821218. Its totient is φ = 4291928821216.

The previous prime is 4291928821127. The next prime is 4291928821237. The reversal of 4291928821217 is 7121288291924.

Together with previous prime (4291928821127) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4145748004321 + 146180816896 = 2036111^2 + 382336^2 .

It is a cyclic number.

It is not a de Polignac number, because 4291928821217 - 2²⁶ = 4291861712353 is a prime.

It is a super-2 number, since 2×4291928821217² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4291928821237) 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, 2145964410608 + 2145964410609.

It is an arithmetic number, because the mean of its divisors is an integer number (2145964410609).

Almost surely, 2^{4291928821217} is an apocalyptic number.

It is an amenable number.

4291928821217 is a deficient number, since it is larger than the sum of its proper divisors (1).

4291928821217 is an equidigital number, since it uses as much as digits as its factorization.

4291928821217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2322432, while the sum is 56.

The spelling of 4291928821217 in words is "four trillion, two hundred ninety-one billion, nine hundred twenty-eight million, eight hundred twenty-one thousand, two hundred seventeen".