4128816468 has 96 divisors (see below), whose sum is σ = 11412430848. Its totient is φ = 1136880000.

The previous prime is 4128816343. The next prime is 4128816541. The reversal of 4128816468 is 8646188214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650446 + ... + 656762.

It is an arithmetic number, because the mean of its divisors is an integer number (118879488).

Almost surely, 2^4128816468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4128816468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706215424).

4128816468 is an abundant number, since it is smaller than the sum of its proper divisors (7283614380).

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

4128816468 is a wasteful number, since it uses less digits than its factorization.

4128816468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6611 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 4128816468 is about 64255.8671873627. The cubic root of 4128816468 is about 1604.2616166661.

The spelling of 4128816468 in words is "four billion, one hundred twenty-eight million, eight hundred sixteen thousand, four hundred sixty-eight".