41421400220393 has 2 divisors, whose sum is σ = 41421400220394. Its totient is φ = 41421400220392.

The previous prime is 41421400220357. The next prime is 41421400220411. The reversal of 41421400220393 is 39302200412414.

41421400220393 is digitally balanced in base 2, 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., 41412674231824 + 8725988569 = 6435268^2 + 93413^2 .

It is a cyclic number.

It is not a de Polignac number, because 41421400220393 - 2¹⁰ = 41421400219369 is a prime.

It is not a weakly prime, because it can be changed into another prime (41421400220323) 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, 20710700110196 + 20710700110197.

It is an arithmetic number, because the mean of its divisors is an integer number (20710700110197).

Almost surely, 2^{41421400220393} is an apocalyptic number.

It is an amenable number.

41421400220393 is a deficient number, since it is larger than the sum of its proper divisors (1).

41421400220393 is an equidigital number, since it uses as much as digits as its factorization.

41421400220393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 41421400220393 in words is "forty-one trillion, four hundred twenty-one billion, four hundred million, two hundred twenty thousand, three hundred ninety-three".