4080448800 has 648 divisors, whose sum is σ = 15994155996. Its totient is φ = 977633280.

The previous prime is 4080448777. The next prime is 4080448831. The reversal of 4080448800 is 88440804.

4080448800 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 18 ways, for example, as 922458384 + 3157990416 = 30372^2 + 56196^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 76989574 + ... + 76989626.

Almost surely, 2^4080448800 is an apocalyptic number.

4080448800 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 4080448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997077998).

4080448800 is an abundant number, since it is smaller than the sum of its proper divisors (11913707196).

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

4080448800 is a wasteful number, since it uses less digits than its factorization.

4080448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4080448800 is about 63878.3907123528. The cubic root of 4080448800 is about 1597.9725361207.

The spelling of 4080448800 in words is "four billion, eighty million, four hundred forty-eight thousand, eight hundred".