4205081174401 has 2 divisors, whose sum is σ = 4205081174402. Its totient is φ = 4205081174400.

The previous prime is 4205081174353. The next prime is 4205081174453. The reversal of 4205081174401 is 1044711805024.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3694856684401 + 510224490000 = 1922201^2 + 714300^2 .

It is a cyclic number.

It is not a de Polignac number, because 4205081174401 - 2³⁵ = 4170721436033 is a prime.

It is not a weakly prime, because it can be changed into another prime (4205081174471) 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, 2102540587200 + 2102540587201.

It is an arithmetic number, because the mean of its divisors is an integer number (2102540587201).

Almost surely, 2^{4205081174401} is an apocalyptic number.

It is an amenable number.

4205081174401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4205081174401 is an equidigital number, since it uses as much as digits as its factorization.

4205081174401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35840, while the sum is 37.

Adding to 4205081174401 its reverse (1044711805024), we get a palindrome (5249792979425).

The spelling of 4205081174401 in words is "four trillion, two hundred five billion, eighty-one million, one hundred seventy-four thousand, four hundred one".