4013043402821 has 2 divisors, whose sum is σ = 4013043402822. Its totient is φ = 4013043402820.

The previous prime is 4013043402799. The next prime is 4013043402887. The reversal of 4013043402821 is 1282043403104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2837523405025 + 1175519997796 = 1684495^2 + 1084214^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013043402821 - 2¹⁴ = 4013043386437 is a prime.

It is a super-2 number, since 2×4013043402821² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4013043401821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006521701410 + 2006521701411.

It is an arithmetic number, because the mean of its divisors is an integer number (2006521701411).

Almost surely, 2^{4013043402821} is an apocalyptic number.

It is an amenable number.

4013043402821 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013043402821 is an equidigital number, since it uses as much as digits as its factorization.

4013043402821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 4013043402821 its reverse (1282043403104), we get a palindrome (5295086805925).

The spelling of 4013043402821 in words is "four trillion, thirteen billion, forty-three million, four hundred two thousand, eight hundred twenty-one".