4205350128 has 160 divisors (see below), whose sum is σ = 12846400000. Its totient is φ = 1184730624.

The previous prime is 4205350099. The next prime is 4205350141. The reversal of 4205350128 is 8210535024.

4205350128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4205350095 and 4205350104.

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, 1200123 + ... + 1203621.

It is an arithmetic number, because the mean of its divisors is an integer number (80290000).

Almost surely, 2^4205350128 is an apocalyptic number.

4205350128 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 4205350128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423200000).

4205350128 is an abundant number, since it is smaller than the sum of its proper divisors (8641049872).

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

4205350128 is a wasteful number, since it uses less digits than its factorization.

4205350128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4205350128 is about 64848.6709809846. The cubic root of 4205350128 is about 1614.1134386502.

The spelling of 4205350128 in words is "four billion, two hundred five million, three hundred fifty thousand, one hundred twenty-eight".