4188968000 has 448 divisors, whose sum is σ = 12983992320. Its totient is φ = 1306368000.

The previous prime is 4188967957. The next prime is 4188968083. The reversal of 4188968000 is 8698814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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, 32983937 + ... + 32984063.

Almost surely, 2^4188968000 is an apocalyptic number.

4188968000 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 4188968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491996160).

4188968000 is an abundant number, since it is smaller than the sum of its proper divisors (8795024320).

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

4188968000 is a wasteful number, since it uses less digits than its factorization.

4188968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 4188968000 is about 64722.2372913669. The cubic root of 4188968000 is about 1612.0147609516.

The spelling of 4188968000 in words is "four billion, one hundred eighty-eight million, nine hundred sixty-eight thousand".