4085873792 has 288 divisors, whose sum is σ = 11121949440. Its totient is φ = 1462855680.

The previous prime is 4085873783. The next prime is 4085873807. The reversal of 4085873792 is 2973785804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18322193 + ... + 18322415.

It is an arithmetic number, because the mean of its divisors is an integer number (38617880).

Almost surely, 2^4085873792 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 4085873792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560974720).

4085873792 is an abundant number, since it is smaller than the sum of its proper divisors (7036075648).

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

4085873792 is a wasteful number, since it uses less digits than its factorization.

4085873792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The square root of 4085873792 is about 63920.8400445426. The cubic root of 4085873792 is about 1598.6803952847.

The spelling of 4085873792 in words is "four billion, eighty-five million, eight hundred seventy-three thousand, seven hundred ninety-two".