4080880800 has 432 divisors, whose sum is σ = 15818362560. Its totient is φ = 985374720.

The previous prime is 4080880723. The next prime is 4080880829. The reversal of 4080880800 is 80880804.

4080880800 = T₃₁₁ + T₃₁₂ + ... + T₂₉₀₄.

4080880800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 3145752 + ... + 3147048.

It is an arithmetic number, because the mean of its divisors is an integer number (36616580).

Almost surely, 2^4080880800 is an apocalyptic number.

4080880800 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 4080880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909181280).

4080880800 is an abundant number, since it is smaller than the sum of its proper divisors (11737481760).

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

4080880800 is a wasteful number, since it uses less digits than its factorization.

4080880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 4080880800 is about 63881.7720480577. The cubic root of 4080880800 is about 1598.0289269582.

The spelling of 4080880800 in words is "four billion, eighty million, eight hundred eighty thousand, eight hundred".