4080080000 has 80 divisors (see below), whose sum is σ = 10157303310. Its totient is φ = 1632000000.

The previous prime is 4080079967. The next prime is 4080080077. The reversal of 4080080000 is 800804.

It can be written as a sum of positive squares in 5 ways, for example, as 298321984 + 3781758016 = 17272^2 + 61496^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 54500 + ... + 105500.

Almost surely, 2^4080080000 is an apocalyptic number.

4080080000 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 4080080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078651655).

4080080000 is an abundant number, since it is smaller than the sum of its proper divisors (6077223310).

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

4080080000 is an frugal number, since it uses more digits than its factorization.

4080080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51035 (or 51008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4080080000 is about 63875.5039119066. The cubic root of 4080080000 is about 1597.9243919046.

Adding to 4080080000 its reverse (800804), we get a palindrome (4080880804).

The spelling of 4080080000 in words is "four billion, eighty million, eighty thousand".