4080080800 has 144 divisors (see below), whose sum is σ = 10322151840. Its totient is φ = 1573770240.

The previous prime is 4080080783. The next prime is 4080080803. The reversal of 4080080800 is 80800804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4080080803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2854486 + ... + 2855914.

It is an arithmetic number, because the mean of its divisors is an integer number (71681610).

Almost surely, 2^4080080800 is an apocalyptic number.

4080080800 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 4080080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161075920).

4080080800 is an abundant number, since it is smaller than the sum of its proper divisors (6242071040).

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

4080080800 is a wasteful number, since it uses less digits than its factorization.

4080080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 4080080800 is about 63875.5101740878. The cubic root of 4080080800 is about 1597.9244963420.

It can be divided in two parts, 40 and 80080800, that added together give a triangular number (80080840 = T₁₂₆₅₅).

The spelling of 4080080800 in words is "four billion, eighty million, eighty thousand, eight hundred".