4243968000 has 416 divisors, whose sum is σ = 15742446720. Its totient is φ = 1128038400.

The previous prime is 4243967993. The next prime is 4243968013. The reversal of 4243968000 is 8693424.

It is a happy number.

It is a super-2 number, since 2×4243968000² = 36022528770048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13823847 + ... + 13824153.

It is an arithmetic number, because the mean of its divisors is an integer number (37842420).

Almost surely, 2^4243968000 is an apocalyptic number.

4243968000 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 4243968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871223360).

4243968000 is an abundant number, since it is smaller than the sum of its proper divisors (11498478720).

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

4243968000 is an equidigital number, since it uses as much as digits as its factorization.

4243968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4243968000 is about 65145.7442969224. The cubic root of 4243968000 is about 1619.0392108093.

The spelling of 4243968000 in words is "four billion, two hundred forty-three million, nine hundred sixty-eight thousand".