4004840400013 has 2 divisors, whose sum is σ = 4004840400014. Its totient is φ = 4004840400012.

The previous prime is 4004840399951. The next prime is 4004840400059. The reversal of 4004840400013 is 3100040484004.

4004840400013 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., 2738670841449 + 1266169558564 = 1654893^2 + 1125242^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004840400013 - 2¹³ = 4004840391821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004843400013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002420200006 + 2002420200007.

It is an arithmetic number, because the mean of its divisors is an integer number (2002420200007).

Almost surely, 2^{4004840400013} is an apocalyptic number.

It is an amenable number.

4004840400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004840400013 is an equidigital number, since it uses as much as digits as its factorization.

4004840400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4004840400013 its reverse (3100040484004), we get a palindrome (7104880884017).

The spelling of 4004840400013 in words is "four trillion, four billion, eight hundred forty million, four hundred thousand, thirteen".