4000335413 has 2 divisors, whose sum is σ = 4000335414. Its totient is φ = 4000335412.

The previous prime is 4000335397. The next prime is 4000335503. The reversal of 4000335413 is 3145330004.

4000335413 is digitally balanced in base 2 and base 3, because in such bases 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., 3993355249 + 6980164 = 63193^2 + 2642^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000335413 - 2⁴ = 4000335397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000335613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000167706 + 2000167707.

It is an arithmetic number, because the mean of its divisors is an integer number (2000167707).

Almost surely, 2^4000335413 is an apocalyptic number.

It is an amenable number.

4000335413 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000335413 is an equidigital number, since it uses as much as digits as its factorization.

4000335413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 4000335413 is about 63248.2048203742. The cubic root of 4000335413 is about 1587.4454203072.

Adding to 4000335413 its reverse (3145330004), we get a palindrome (7145665417).

The spelling of 4000335413 in words is "four billion, three hundred thirty-five thousand, four hundred thirteen".