4557104017441 has 2 divisors, whose sum is σ = 4557104017442. Its totient is φ = 4557104017440.

The previous prime is 4557104017439. The next prime is 4557104017559. The reversal of 4557104017441 is 1447104017554.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2745993666816 + 1811110350625 = 1657104^2 + 1345775^2 .

It is a cyclic number.

It is not a de Polignac number, because 4557104017441 - 2¹ = 4557104017439 is a prime.

Together with 4557104017439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4557104017841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2278552008720 + 2278552008721.

It is an arithmetic number, because the mean of its divisors is an integer number (2278552008721).

Almost surely, 2^{4557104017441} is an apocalyptic number.

It is an amenable number.

4557104017441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4557104017441 is an equidigital number, since it uses as much as digits as its factorization.

4557104017441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 313600, while the sum is 43.

The spelling of 4557104017441 in words is "four trillion, five hundred fifty-seven billion, one hundred four million, seventeen thousand, four hundred forty-one".