4133133312 has 352 divisors, whose sum is σ = 13950779904. Its totient is φ = 1056768000.

The previous prime is 4133133299. The next prime is 4133133317. The reversal of 4133133312 is 2133313314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133133317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23890858 + ... + 23891030.

Almost surely, 2^4133133312 is an apocalyptic number.

4133133312 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 4133133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975389952).

4133133312 is an abundant number, since it is smaller than the sum of its proper divisors (9817646592).

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

4133133312 is a wasteful number, since it uses less digits than its factorization.

4133133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 4133133312 is about 64289.4494610119. The cubic root of 4133133312 is about 1604.8205286459.

Adding to 4133133312 its reverse (2133313314), we get a palindrome (6266446626).

The spelling of 4133133312 in words is "four billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred twelve".