4004114040013 has 2 divisors, whose sum is σ = 4004114040014. Its totient is φ = 4004114040012.

The previous prime is 4004114039969. The next prime is 4004114040067. The reversal of 4004114040013 is 3100404114004.

4004114040013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2811916473129 + 1192197566884 = 1676877^2 + 1091878^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004114040013 - 2²¹ = 4004111942861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004114040713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002057020006 + 2002057020007.

It is an arithmetic number, because the mean of its divisors is an integer number (2002057020007).

Almost surely, 2^{4004114040013} is an apocalyptic number.

It is an amenable number.

4004114040013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004114040013 is an equidigital number, since it uses as much as digits as its factorization.

4004114040013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4004114040013 its reverse (3100404114004), we get a palindrome (7104518154017).

The spelling of 4004114040013 in words is "four trillion, four billion, one hundred fourteen million, forty thousand, thirteen".