4002830832 has 320 divisors, whose sum is σ = 13983105024. Its totient is φ = 952888320.

The previous prime is 4002830789. The next prime is 4002830837. The reversal of 4002830832 is 2380382004.

It is a self number, because there is not a number n which added to its sum of digits gives 4002830832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002830837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10906713 + ... + 10907079.

Almost surely, 2^4002830832 is an apocalyptic number.

4002830832 is a gapful number since it is divisible by the number (42) 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 4002830832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991552512).

4002830832 is an abundant number, since it is smaller than the sum of its proper divisors (9980274192).

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

4002830832 is a wasteful number, since it uses less digits than its factorization.

4002830832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4002830832 is about 63267.9289371795. The cubic root of 4002830832 is about 1587.7754358052.

The spelling of 4002830832 in words is "four billion, two million, eight hundred thirty thousand, eight hundred thirty-two".