4281567824321 has 2 divisors, whose sum is σ = 4281567824322. Its totient is φ = 4281567824320.

The previous prime is 4281567824257. The next prime is 4281567824329. The reversal of 4281567824321 is 1234287651824.

It is a happy number.

4281567824321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3268050450625 + 1013517373696 = 1807775^2 + 1006736^2 .

It is a cyclic number.

It is not a de Polignac number, because 4281567824321 - 2⁶ = 4281567824257 is a prime.

It is a super-2 number, since 2×4281567824321² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4281567824329) 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, 2140783912160 + 2140783912161.

It is an arithmetic number, because the mean of its divisors is an integer number (2140783912161).

Almost surely, 2^{4281567824321} is an apocalyptic number.

It is an amenable number.

4281567824321 is a deficient number, since it is larger than the sum of its proper divisors (1).

4281567824321 is an equidigital number, since it uses as much as digits as its factorization.

4281567824321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5160960, while the sum is 53.

The spelling of 4281567824321 in words is "four trillion, two hundred eighty-one billion, five hundred sixty-seven million, eight hundred twenty-four thousand, three hundred twenty-one".