4128689120 has 96 divisors (see below), whose sum is σ = 10096773120. Its totient is φ = 1593745920.

The previous prime is 4128689107. The next prime is 4128689153. The reversal of 4128689120 is 219868214.

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 15 ways as a sum of consecutive naturals, for example, 2196341 + ... + 2198219.

It is an arithmetic number, because the mean of its divisors is an integer number (105174720).

Almost surely, 2^4128689120 is an apocalyptic number.

4128689120 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 4128689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048386560).

4128689120 is an abundant number, since it is smaller than the sum of its proper divisors (5968084000).

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

4128689120 is a wasteful number, since it uses less digits than its factorization.

4128689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 4128689120 is about 64254.8762351932. The cubic root of 4128689120 is about 1604.2451227054.

The spelling of 4128689120 in words is "four billion, one hundred twenty-eight million, six hundred eighty-nine thousand, one hundred twenty".