4133405304 has 96 divisors (see below), whose sum is σ = 12907271520. Its totient is φ = 1170505728.

The previous prime is 4133405299. The next prime is 4133405317. The reversal of 4133405304 is 4035043314.

4133405304 is a `hidden beast` number, since 4 + 13 + 340 + 5 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20664 + ... + 93240.

It is an arithmetic number, because the mean of its divisors is an integer number (134450745).

Almost surely, 2^4133405304 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 4133405304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453635760).

4133405304 is an abundant number, since it is smaller than the sum of its proper divisors (8773866216).

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

4133405304 is a wasteful number, since it uses less digits than its factorization.

4133405304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72709 (or 72702 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4133405304 is about 64291.5647966356. The cubic root of 4133405304 is about 1604.8557310567.

Adding to 4133405304 its reverse (4035043314), we get a palindrome (8168448618).

The spelling of 4133405304 in words is "four billion, one hundred thirty-three million, four hundred five thousand, three hundred four".