4021405819729 has 2 divisors, whose sum is σ = 4021405819730. Its totient is φ = 4021405819728.

The previous prime is 4021405819723. The next prime is 4021405819733. The reversal of 4021405819729 is 9279185041204.

4021405819729 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., 3244807782225 + 776598037504 = 1801335^2 + 881248^2 .

It is a cyclic number.

It is not a de Polignac number, because 4021405819729 - 2³⁹ = 3471650005841 is a prime.

It is not a weakly prime, because it can be changed into another prime (4021405819723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2010702909864 + 2010702909865.

It is an arithmetic number, because the mean of its divisors is an integer number (2010702909865).

Almost surely, 2^{4021405819729} is an apocalyptic number.

It is an amenable number.

4021405819729 is a deficient number, since it is larger than the sum of its proper divisors (1).

4021405819729 is an equidigital number, since it uses as much as digits as its factorization.

4021405819729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 4021405819729 in words is "four trillion, twenty-one billion, four hundred five million, eight hundred nineteen thousand, seven hundred twenty-nine".