4123128960 has 512 divisors, whose sum is σ = 15510528000. Its totient is φ = 1033482240.

The previous prime is 4123128941. The next prime is 4123129007. The reversal of 4123128960 is 698213214.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 23034151 + ... + 23034329.

It is an arithmetic number, because the mean of its divisors is an integer number (30294000).

Almost surely, 2^4123128960 is an apocalyptic number.

4123128960 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 4123128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755264000).

4123128960 is an abundant number, since it is smaller than the sum of its proper divisors (11387399040).

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

4123128960 is a wasteful number, since it uses less digits than its factorization.

4123128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4123128960 is about 64211.5952145716. The cubic root of 4123128960 is about 1603.5246465071.

The spelling of 4123128960 in words is "four billion, one hundred twenty-three million, one hundred twenty-eight thousand, nine hundred sixty".