4132519128 has 128 divisors (see below), whose sum is σ = 11781580800. Its totient is φ = 1341422208.

The previous prime is 4132519117. The next prime is 4132519129. The reversal of 4132519128 is 8219152314.

4132519128 is a `hidden beast` number, since 4 + 13 + 2 + 519 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4132519092 and 4132519101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132519129) by changing a digit.

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, 5637450 + ... + 5638182.

It is an arithmetic number, because the mean of its divisors is an integer number (92043600).

Almost surely, 2^4132519128 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 4132519128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890790400).

4132519128 is an abundant number, since it is smaller than the sum of its proper divisors (7649061672).

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

4132519128 is a wasteful number, since it uses less digits than its factorization.

4132519128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1388 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 4132519128 is about 64284.6725744170. The cubic root of 4132519128 is about 1604.7410325474.

The spelling of 4132519128 in words is "four billion, one hundred thirty-two million, five hundred nineteen thousand, one hundred twenty-eight".