4000590959 has 2 divisors, whose sum is σ = 4000590960. Its totient is φ = 4000590958.

The previous prime is 4000590931. The next prime is 4000590973. The reversal of 4000590959 is 9590950004.

4000590959 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4000590959 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000595959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000295479 + 2000295480.

It is an arithmetic number, because the mean of its divisors is an integer number (2000295480).

Almost surely, 2^4000590959 is an apocalyptic number.

4000590959 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000590959 is an equidigital number, since it uses as much as digits as its factorization.

4000590959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72900, while the sum is 41.

The square root of 4000590959 is about 63250.2249719319. The cubic root of 4000590959 is about 1587.4792221969.

The spelling of 4000590959 in words is "four billion, five hundred ninety thousand, nine hundred fifty-nine".