4082099840 has 768 divisors, whose sum is σ = 14065228800. Its totient is φ = 1114767360.

The previous prime is 4082099839. The next prime is 4082099867. The reversal of 4082099840 is 489902804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4082099791 and 4082099800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131680625 + ... + 131680655.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2^4082099840 is an apocalyptic number.

4082099840 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 4082099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

4082099840 is an abundant number, since it is smaller than the sum of its proper divisors (9983128960).

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

4082099840 is a wasteful number, since it uses less digits than its factorization.

4082099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 4082099840 is about 63891.3127115103. The cubic root of 4082099840 is about 1598.1880320906.

The spelling of 4082099840 in words is "four billion, eighty-two million, ninety-nine thousand, eight hundred forty".