4083968000 has 384 divisors, whose sum is σ = 12142690560. Its totient is φ = 1341849600.

The previous prime is 4083967997. The next prime is 4083968029. The reversal of 4083968000 is 8693804.

It is a congruent number.

It is an unprimeable number.

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, 77055974 + ... + 77056026.

It is an arithmetic number, because the mean of its divisors is an integer number (31621590).

Almost surely, 2^4083968000 is an apocalyptic number.

4083968000 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 4083968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071345280).

4083968000 is an abundant number, since it is smaller than the sum of its proper divisors (8058722560).

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

4083968000 is an equidigital number, since it uses as much as digits as its factorization.

4083968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 4083968000 is about 63905.9308671738. The cubic root of 4083968000 is about 1598.4317967972.

The spelling of 4083968000 in words is "four billion, eighty-three million, nine hundred sixty-eight thousand".