4080004800 has 168 divisors, whose sum is σ = 13748192976. Its totient is φ = 1058549760.

The previous prime is 4080004793. The next prime is 4080004801. The reversal of 4080004800 is 84000804.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4080004801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 166114 + ... + 189086.

It is an arithmetic number, because the mean of its divisors is an integer number (81834482).

Almost surely, 2^4080004800 is an apocalyptic number.

4080004800 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 4080004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874096488).

4080004800 is an abundant number, since it is smaller than the sum of its proper divisors (9668188176).

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

4080004800 is a wasteful number, since it uses less digits than its factorization.

4080004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23035 (or 23020 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4080004800 is about 63874.9152641317. The cubic root of 4080004800 is about 1597.9145747235.

It can be divided in two parts, 4080004 and 800, that added together give a palindrome (4080804).

The spelling of 4080004800 in words is "four billion, eighty million, four thousand, eight hundred".