4085202816 has 256 divisors, whose sum is σ = 13183948800. Its totient is φ = 1239736320.

The previous prime is 4085202811. The next prime is 4085202817. The reversal of 4085202816 is 6182025804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085202811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820191 + ... + 1822433.

It is an arithmetic number, because the mean of its divisors is an integer number (51499800).

Almost surely, 2^4085202816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085202816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591974400).

4085202816 is an abundant number, since it is smaller than the sum of its proper divisors (9098745984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4085202816 is a wasteful number, since it uses less digits than its factorization.

4085202816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4085202816 is about 63915.5913373255. The cubic root of 4085202816 is about 1598.5928795369.

The spelling of 4085202816 in words is "four billion, eighty-five million, two hundred two thousand, eight hundred sixteen".