4133314332 has 144 divisors (see below), whose sum is σ = 12415649792. Its totient is φ = 1177830720.

The previous prime is 4133314313. The next prime is 4133314369. The reversal of 4133314332 is 2334133314.

4133314332 is a `hidden beast` number, since 4 + 13 + 3 + 314 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4133314296 and 4133314305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4170357 + ... + 4171347.

Almost surely, 2^4133314332 is an apocalyptic number.

4133314332 is a gapful number since it is divisible by the number (42) 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 4133314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207824896).

4133314332 is an abundant number, since it is smaller than the sum of its proper divisors (8282335460).

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

4133314332 is a wasteful number, since it uses less digits than its factorization.

4133314332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1616 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 4133314332 is about 64290.8572971305. The cubic root of 4133314332 is about 1604.8439572289.

Adding to 4133314332 its reverse (2334133314), we get a palindrome (6467447646).

The spelling of 4133314332 in words is "four billion, one hundred thirty-three million, three hundred fourteen thousand, three hundred thirty-two".