4005362130 has 128 divisors (see below), whose sum is σ = 12371705856. Its totient is φ = 805420800.

The previous prime is 4005362111. The next prime is 4005362131. The reversal of 4005362130 is 312635004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4005362130.

It is not an unprimeable number, because it can be changed into a prime (4005362131) 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, 43644 + ... + 99576.

It is an arithmetic number, because the mean of its divisors is an integer number (96653952).

Almost surely, 2^4005362130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005362130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185852928).

4005362130 is an abundant number, since it is smaller than the sum of its proper divisors (8366343726).

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

4005362130 is a wasteful number, since it uses less digits than its factorization.

4005362130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55992.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 4005362130 is about 63287.9303659078. The cubic root of 4005362130 is about 1588.1100561484.

Adding to 4005362130 its reverse (312635004), we get a palindrome (4317997134).

The spelling of 4005362130 in words is "four billion, five million, three hundred sixty-two thousand, one hundred thirty".