4075820320 has 288 divisors, whose sum is σ = 11594669184. Its totient is φ = 1341849600.

The previous prime is 4075820299. The next prime is 4075820369. The reversal of 4075820320 is 230285704.

It is a super-2 number, since 2×4075820320² = 33224622561849804800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21118144 + ... + 21118336.

It is an arithmetic number, because the mean of its divisors is an integer number (40259268).

Almost surely, 2^4075820320 is an apocalyptic number.

4075820320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4075820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797334592).

4075820320 is an abundant number, since it is smaller than the sum of its proper divisors (7518848864).

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

4075820320 is a wasteful number, since it uses less digits than its factorization.

4075820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 4075820320 is about 63842.1515928152. The cubic root of 4075820320 is about 1597.3681105976.

The spelling of 4075820320 in words is "four billion, seventy-five million, eight hundred twenty thousand, three hundred twenty".