4168288320 has 448 divisors, whose sum is σ = 15914949120. Its totient is φ = 904200192.

The previous prime is 4168288301. The next prime is 4168288337. The reversal of 4168288320 is 238828614.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 14226094 + ... + 14226386.

It is an arithmetic number, because the mean of its divisors is an integer number (35524440).

Almost surely, 2^4168288320 is an apocalyptic number.

4168288320 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 4168288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957474560).

4168288320 is an abundant number, since it is smaller than the sum of its proper divisors (11746660800).

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

4168288320 is a wasteful number, since it uses less digits than its factorization.

4168288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4168288320 is about 64562.2824875329. The cubic root of 4168288320 is about 1609.3577058097.

The spelling of 4168288320 in words is "four billion, one hundred sixty-eight million, two hundred eighty-eight thousand, three hundred twenty".