4177421857121 has 2 divisors, whose sum is σ = 4177421857122. Its totient is φ = 4177421857120.

The previous prime is 4177421857097. The next prime is 4177421857129. The reversal of 4177421857121 is 1217581247714.

It is a happy number.

4177421857121 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., 3898966176400 + 278455680721 = 1974580^2 + 527689^2 .

It is a cyclic number.

It is not a de Polignac number, because 4177421857121 - 2¹⁴ = 4177421840737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4177421857121.

It is not a weakly prime, because it can be changed into another prime (4177421857129) 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, 2088710928560 + 2088710928561.

It is an arithmetic number, because the mean of its divisors is an integer number (2088710928561).

Almost surely, 2^{4177421857121} is an apocalyptic number.

It is an amenable number.

4177421857121 is a deficient number, since it is larger than the sum of its proper divisors (1).

4177421857121 is an equidigital number, since it uses as much as digits as its factorization.

4177421857121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 878080, while the sum is 50.

The spelling of 4177421857121 in words is "four trillion, one hundred seventy-seven billion, four hundred twenty-one million, eight hundred fifty-seven thousand, one hundred twenty-one".