4082856960 has 704 divisors, whose sum is σ = 16903176192. Its totient is φ = 817496064.

The previous prime is 4082856949. The next prime is 4082856977. The reversal of 4082856960 is 696582804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32148417 + ... + 32148543.

Almost surely, 2^4082856960 is an apocalyptic number.

4082856960 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 4082856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451588096).

4082856960 is an abundant number, since it is smaller than the sum of its proper divisors (12820319232).

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

4082856960 is a wasteful number, since it uses less digits than its factorization.

4082856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4082856960 is about 63897.2374989717. The cubic root of 4082856960 is about 1598.2868329831.

The spelling of 4082856960 in words is "four billion, eighty-two million, eight hundred fifty-six thousand, nine hundred sixty".