4143984768 has 576 divisors, whose sum is σ = 15575938560. Its totient is φ = 1034035200.

The previous prime is 4143984749. The next prime is 4143984791. The reversal of 4143984768 is 8674893414.

4143984768 is a `hidden beast` number, since 41 + 43 + 98 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30247996 + ... + 30248132.

It is an arithmetic number, because the mean of its divisors is an integer number (27041560).

Almost surely, 2^4143984768 is an apocalyptic number.

4143984768 is a gapful number since it is divisible by the number (48) 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 4143984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787969280).

4143984768 is an abundant number, since it is smaller than the sum of its proper divisors (11431953792).

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

4143984768 is a wasteful number, since it uses less digits than its factorization.

4143984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 4143984768 is about 64373.7894488122. The cubic root of 4143984768 is about 1606.2237756613.

The spelling of 4143984768 in words is "four billion, one hundred forty-three million, nine hundred eighty-four thousand, seven hundred sixty-eight".