4082287680 has 224 divisors, whose sum is σ = 14552858880. Its totient is φ = 1077166080.

The previous prime is 4082287679. The next prime is 4082287681. The reversal of 4082287680 is 867822804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4082287679) and next prime (4082287681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4082287681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835645 + ... + 840515.

It is an arithmetic number, because the mean of its divisors is an integer number (64968120).

Almost surely, 2^4082287680 is an apocalyptic number.

4082287680 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 4082287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276429440).

4082287680 is an abundant number, since it is smaller than the sum of its proper divisors (10470571200).

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

4082287680 is a wasteful number, since it uses less digits than its factorization.

4082287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4082287680 is about 63892.7826910051. The cubic root of 4082287680 is about 1598.2125455394.

The spelling of 4082287680 in words is "four billion, eighty-two million, two hundred eighty-seven thousand, six hundred eighty".