4085716329 has 8 divisors (see below), whose sum is σ = 6052913120. Its totient is φ = 2723810868.

The previous prime is 4085716321. The next prime is 4085716333. The reversal of 4085716329 is 9236175804.

4085716329 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 7 + 1 + 632 + 9 = 666.

4085716329 is digitally balanced in base 3 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4085716329 - 2³ = 4085716321 is a prime.

It is a Duffinian number.

4085716329 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (4085716321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75661387 + ... + 75661440.

It is an arithmetic number, because the mean of its divisors is an integer number (756614140).

It is a 1-persistent number, because it is pandigital, but 2⋅4085716329 = 8171432658 is not.

Almost surely, 2^4085716329 is an apocalyptic number.

It is an amenable number.

4085716329 is a deficient number, since it is larger than the sum of its proper divisors (1967196791).

4085716329 is a wasteful number, since it uses less digits than its factorization.

4085716329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151322836 (or 151322830 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4085716329 is about 63919.6083295259. The cubic root of 4085716329 is about 1598.6598581643.

The spelling of 4085716329 in words is "four billion, eighty-five million, seven hundred sixteen thousand, three hundred twenty-nine".