4000488080 has 80 divisors (see below), whose sum is σ = 9550357488. Its totient is φ = 1557504000.

The previous prime is 4000488067. The next prime is 4000488083. The reversal of 4000488080 is 808840004.

4000488080 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 8 ways, for example, as 566059264 + 3434428816 = 23792^2 + 58604^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4000488083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707710 + ... + 1710050.

Almost surely, 2^4000488080 is an apocalyptic number.

4000488080 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 4000488080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775178744).

4000488080 is an abundant number, since it is smaller than the sum of its proper divisors (5549869408).

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

4000488080 is a wasteful number, since it uses less digits than its factorization.

4000488080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4000488080 is about 63249.4116968688. The cubic root of 4000488080 is about 1587.4656142344.

The spelling of 4000488080 in words is "four billion, four hundred eighty-eight thousand, eighty".