4132841328 has 240 divisors, whose sum is σ = 14773554432. Its totient is φ = 1047168000.

The previous prime is 4132841309. The next prime is 4132841341. The reversal of 4132841328 is 8231482314.

It is a happy number.

4132841328 is a `hidden beast` number, since 4 + 1 + 328 + 4 + 1 + 328 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4132841292 and 4132841301.

It is a congruent number.

It is an unprimeable number.

It is a Kaprekar number, because its square (17080377442424803584) can be partitioned into two parts whose sum is 4132841328.

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 47 ways as a sum of consecutive naturals, for example, 450063 + ... + 459153.

Almost surely, 2^4132841328 is an apocalyptic number.

4132841328 is a gapful number since it is divisible by the number (48) 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 4132841328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386777216).

4132841328 is an abundant number, since it is smaller than the sum of its proper divisors (10640713104).

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

4132841328 is a wasteful number, since it uses less digits than its factorization.

4132841328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9155 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4132841328 is about 64287.1785661807. The cubic root of 4132841328 is about 1604.7827370628.

The spelling of 4132841328 in words is "four billion, one hundred thirty-two million, eight hundred forty-one thousand, three hundred twenty-eight".