33041144224 has 96 divisors (see below), whose sum is σ = 74769537024. Its totient is φ = 14225882880.

The previous prime is 33041144219. The next prime is 33041144231. The reversal of 33041144224 is 42244114033.

It is a junction number, because it is equal to n+sod(n) for n = 33041144192 and 33041144201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814077 + ... + 853699.

It is an arithmetic number, because the mean of its divisors is an integer number (778849344).

Almost surely, 2^33041144224 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 33041144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37384768512).

33041144224 is an abundant number, since it is smaller than the sum of its proper divisors (41728392800).

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

33041144224 is a wasteful number, since it uses less digits than its factorization.

33041144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39770 (or 39762 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 33041144224 its reverse (42244114033), we get a palindrome (75285258257).

The spelling of 33041144224 in words is "thirty-three billion, forty-one million, one hundred forty-four thousand, two hundred twenty-four".