4000808320 has 32 divisors (see below), whose sum is σ = 9564433920. Its totient is φ = 1600323072.

The previous prime is 4000808309. The next prime is 4000808333. The reversal of 4000808320 is 238080004.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 3124992 + ... + 3126271.

It is an arithmetic number, because the mean of its divisors is an integer number (298888560).

Almost surely, 2^4000808320 is an apocalyptic number.

4000808320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000808320 is an abundant number, since it is smaller than the sum of its proper divisors (5563625600).

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

4000808320 is an equidigital number, since it uses as much as digits as its factorization.

4000808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251282 (or 6251270 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4000808320 is about 63251.9432112564. The cubic root of 4000808320 is about 1587.5079721012.

Adding to 4000808320 its reverse (238080004), we get a palindrome (4238888324).

The spelling of 4000808320 in words is "four billion, eight hundred eight thousand, three hundred twenty".