4082209280 has 320 divisors, whose sum is σ = 11136787200. Its totient is φ = 1427374080.

The previous prime is 4082209279. The next prime is 4082209291. The reversal of 4082209280 is 829022804.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 4082209280.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45867476 + ... + 45867564.

It is an arithmetic number, because the mean of its divisors is an integer number (34802460).

Almost surely, 2^4082209280 is an apocalyptic number.

4082209280 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 4082209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568393600).

4082209280 is an abundant number, since it is smaller than the sum of its proper divisors (7054577920).

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

4082209280 is a wasteful number, since it uses less digits than its factorization.

4082209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 4082209280 is about 63892.1691602343. The cubic root of 4082209280 is about 1598.2023142936.

The spelling of 4082209280 in words is "four billion, eighty-two million, two hundred nine thousand, two hundred eighty".