33031142222240 has 192 divisors, whose sum is σ = 79797106464768. Its totient is φ = 12917418624000.

The previous prime is 33031142222233. The next prime is 33031142222263. The reversal of 33031142222240 is 4222224113033.

33031142222240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1921412045 + ... + 1921429235.

It is an arithmetic number, because the mean of its divisors is an integer number (415609929504).

Almost surely, 2^{33031142222240} 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 33031142222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39898553232384).

33031142222240 is an abundant number, since it is smaller than the sum of its proper divisors (46765964242528).

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

33031142222240 is a wasteful number, since it uses less digits than its factorization.

33031142222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18611 (or 18603 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 33031142222240 its reverse (4222224113033), we get a palindrome (37253366335273).

The spelling of 33031142222240 in words is "thirty-three trillion, thirty-one billion, one hundred forty-two million, two hundred twenty-two thousand, two hundred forty".