4082216880 has 480 divisors, whose sum is σ = 15674425344. Its totient is φ = 860461056.

The previous prime is 4082216863. The next prime is 4082216881. The reversal of 4082216880 is 886122804.

It is not an unprimeable number, because it can be changed into a prime (4082216881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32143377 + ... + 32143503.

Almost surely, 2^4082216880 is an apocalyptic number.

4082216880 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 4082216880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837212672).

4082216880 is an abundant number, since it is smaller than the sum of its proper divisors (11592208464).

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

4082216880 is a wasteful number, since it uses less digits than its factorization.

4082216880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 4082216880 is about 63892.2286354139. The cubic root of 4082216880 is about 1598.2033061038.

The spelling of 4082216880 in words is "four billion, eighty-two million, two hundred sixteen thousand, eight hundred eighty".