4080884800 has 84 divisors (see below), whose sum is σ = 10141349796. Its totient is φ = 1616128000.

The previous prime is 4080884783. The next prime is 4080884803. The reversal of 4080884800 is 84880804.

4080884800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 729864256 + 3351020544 = 27016^2 + 57888^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4080884803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148974 + ... + 174226.

Almost surely, 2^4080884800 is an apocalyptic number.

4080884800 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 4080884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070674898).

4080884800 is an abundant number, since it is smaller than the sum of its proper divisors (6060464996).

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

4080884800 is a wasteful number, since it uses less digits than its factorization.

4080884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25376 (or 25361 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 4080884800 is about 63881.8033558853. The cubic root of 4080884800 is about 1598.0294490770.

The spelling of 4080884800 in words is "four billion, eighty million, eight hundred eighty-four thousand, eight hundred".