33133430440 has 256 divisors, whose sum is σ = 93108268800. Its totient is φ = 10450944000.

The previous prime is 33133430357. The next prime is 33133430441. The reversal of 33133430440 is 4403433133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 33133430399 and 33133430408.

It is not an unprimeable number, because it can be changed into a prime (33133430441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5255290 + ... + 5261590.

It is an arithmetic number, because the mean of its divisors is an integer number (363704175).

Almost surely, 2^33133430440 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 33133430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46554134400).

33133430440 is an abundant number, since it is smaller than the sum of its proper divisors (59974838360).

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

33133430440 is a wasteful number, since it uses less digits than its factorization.

33133430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6392 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 33133430440 its reverse (4403433133), we get a palindrome (37536863573).

It can be divided in two parts, 33133430 and 440, that added together give a triangular number (33133870 = T₈₁₄₀).

The spelling of 33133430440 in words is "thirty-three billion, one hundred thirty-three million, four hundred thirty thousand, four hundred forty".