4189136832 has 224 divisors, whose sum is σ = 12982041600. Its totient is φ = 1322044416.

The previous prime is 4189136803. The next prime is 4189136843. The reversal of 4189136832 is 2386319814.

4189136832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4331613 + ... + 4332579.

Almost surely, 2^4189136832 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 4189136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491020800).

4189136832 is an abundant number, since it is smaller than the sum of its proper divisors (8792904768).

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

4189136832 is a wasteful number, since it uses less digits than its factorization.

4189136832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1104 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 4189136832 is about 64723.5415594666. The cubic root of 4189136832 is about 1612.0364175203.

The spelling of 4189136832 in words is "four billion, one hundred eighty-nine million, one hundred thirty-six thousand, eight hundred thirty-two".