4040133033300 has 576 divisors, whose sum is σ = 15157296537600. Its totient is φ = 806862643200.

The previous prime is 4040133033263. The next prime is 4040133033323. The reversal of 4040133033300 is 33303310404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 772341685 + ... + 772346915.

Almost surely, 2^{4040133033300} 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 4040133033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578648268800).

4040133033300 is an abundant number, since it is smaller than the sum of its proper divisors (11117163504300).

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

4040133033300 is a wasteful number, since it uses less digits than its factorization.

4040133033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6776 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 4040133033300 its reverse (33303310404), we get a palindrome (4073436343704).

The spelling of 4040133033300 in words is "four trillion, forty billion, one hundred thirty-three million, thirty-three thousand, three hundred".