33140404224 has 156 divisors (see below), whose sum is σ = 95939479272. Its totient is φ = 11022336000.

The previous prime is 33140404127. The next prime is 33140404249. The reversal of 33140404224 is 42240404133.

It is a happy number.

33140404224 is a `hidden beast` number, since 3 + 31 + 4 + 0 + 404 + 224 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25472374 + ... + 25473674.

It is an arithmetic number, because the mean of its divisors is an integer number (614996662).

Almost surely, 2^33140404224 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 33140404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47969739636).

33140404224 is an abundant number, since it is smaller than the sum of its proper divisors (62799075048).

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

33140404224 is a wasteful number, since it uses less digits than its factorization.

33140404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 33140404224 its reverse (42240404133), we get a palindrome (75380808357).

Subtracting 33140404224 from its reverse (42240404133), we obtain a palindrome (9099999909).

The spelling of 33140404224 in words is "thirty-three billion, one hundred forty million, four hundred four thousand, two hundred twenty-four".