4128430320 has 480 divisors, whose sum is σ = 16461744000. Its totient is φ = 926650368.

The previous prime is 4128430309. The next prime is 4128430357. The reversal of 4128430320 is 230348214.

4128430320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18027966 + ... + 18028194.

It is an arithmetic number, because the mean of its divisors is an integer number (34295300).

Almost surely, 2^4128430320 is an apocalyptic number.

4128430320 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 4128430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230872000).

4128430320 is an abundant number, since it is smaller than the sum of its proper divisors (12333313680).

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

4128430320 is a wasteful number, since it uses less digits than its factorization.

4128430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4128430320 is about 64252.8623486923. The cubic root of 4128430320 is about 1604.2116021940.

Adding to 4128430320 its reverse (230348214), we get a palindrome (4358778534).

The spelling of 4128430320 in words is "four billion, one hundred twenty-eight million, four hundred thirty thousand, three hundred twenty".