4168440000 has 210 divisors, whose sum is σ = 14931610980. Its totient is φ = 1111488000.

The previous prime is 4168439999. The next prime is 4168440037. The reversal of 4168440000 is 448614.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 354211 + ... + 365789.

Almost surely, 2^4168440000 is an apocalyptic number.

4168440000 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 4168440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465805490).

4168440000 is an abundant number, since it is smaller than the sum of its proper divisors (10763170980).

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

4168440000 is a wasteful number, since it uses less digits than its factorization.

4168440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11617 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4168440000 is about 64563.4571565061. The cubic root of 4168440000 is about 1609.3772265656.

Adding to 4168440000 its reverse (448614), we get a palindrome (4168888614).

The spelling of 4168440000 in words is "four billion, one hundred sixty-eight million, four hundred forty thousand".