4133130304 has 168 divisors, whose sum is σ = 9261591840. Its totient is φ = 1822740480.

The previous prime is 4133130293. The next prime is 4133130341. The reversal of 4133130304 is 4030313314.

It is a happy number.

It is a super-2 number, since 2×4133130304² = 34165532219686264832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61688479 + ... + 61688545.

Almost surely, 2^4133130304 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 4133130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630795920).

4133130304 is an abundant number, since it is smaller than the sum of its proper divisors (5128461536).

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

4133130304 is a wasteful number, since it uses less digits than its factorization.

4133130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 4133130304 is about 64289.4260668113. The cubic root of 4133130304 is about 1604.8201393285.

Adding to 4133130304 its reverse (4030313314), we get a palindrome (8163443618).

The spelling of 4133130304 in words is "four billion, one hundred thirty-three million, one hundred thirty thousand, three hundred four".