4558841978401 has 2 divisors, whose sum is σ = 4558841978402. Its totient is φ = 4558841978400.

The previous prime is 4558841978393. The next prime is 4558841978407. The reversal of 4558841978401 is 1048791488554.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2565606266001 + 1993235712400 = 1601751^2 + 1411820^2 .

It is a cyclic number.

It is not a de Polignac number, because 4558841978401 - 2³ = 4558841978393 is a prime.

It is a super-2 number, since 2×4558841978401² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4558841978407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2279420989200 + 2279420989201.

It is an arithmetic number, because the mean of its divisors is an integer number (2279420989201).

Almost surely, 2^{4558841978401} is an apocalyptic number.

It is an amenable number.

4558841978401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4558841978401 is an equidigital number, since it uses as much as digits as its factorization.

4558841978401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51609600, while the sum is 64.

The spelling of 4558841978401 in words is "four trillion, five hundred fifty-eight billion, eight hundred forty-one million, nine hundred seventy-eight thousand, four hundred one".