4157128000 has 112 divisors (see below), whose sum is σ = 10373008464. Its totient is φ = 1650278400.

The previous prime is 4157127973. The next prime is 4157128037. The reversal of 4157128000 is 8217514.

It can be written as a sum of positive squares in 8 ways, for example, as 1866931264 + 2290196736 = 43208^2 + 47856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4157128000.

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, 1094104 + ... + 1097896.

It is an arithmetic number, because the mean of its divisors is an integer number (92616147).

Almost surely, 2^4157128000 is an apocalyptic number.

4157128000 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 4157128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186504232).

4157128000 is an abundant number, since it is smaller than the sum of its proper divisors (6215880464).

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

4157128000 is a wasteful number, since it uses less digits than its factorization.

4157128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 4157128000 is about 64475.7939074813. The cubic root of 4157128000 is about 1607.9201052687.

The spelling of 4157128000 in words is "four billion, one hundred fifty-seven million, one hundred twenty-eight thousand".