4140040013 has 2 divisors, whose sum is σ = 4140040014. Its totient is φ = 4140040012.

The previous prime is 4140040007. The next prime is 4140040031. The reversal of 4140040013 is 3100400414.

4140040013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (4140040031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2889922564 + 1250117449 = 53758^2 + 35357^2 .

It is a cyclic number.

It is not a de Polignac number, because 4140040013 - 2¹⁰ = 4140038989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4140039973 and 4140040000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4140046013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070020006 + 2070020007.

It is an arithmetic number, because the mean of its divisors is an integer number (2070020007).

Almost surely, 2^4140040013 is an apocalyptic number.

It is an amenable number.

4140040013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4140040013 is an equidigital number, since it uses as much as digits as its factorization.

4140040013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4140040013 is about 64343.1427037878. The cubic root of 4140040013 is about 1605.7139466601.

Adding to 4140040013 its reverse (3100400414), we get a palindrome (7240440427).

The spelling of 4140040013 in words is "four billion, one hundred forty million, forty thousand, thirteen".