33044400420024 has 192 divisors, whose sum is σ = 97939240525440. Its totient is φ = 9260513982720.

The previous prime is 33044400420011. The next prime is 33044400420041. The reversal of 33044400420024 is 42002400444033.

It is a junction number, because it is equal to n+sod(n) for n = 33044400419973 and 33044400420000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226988139 + ... + 227133669.

It is an arithmetic number, because the mean of its divisors is an integer number (510100211070).

Almost surely, 2^{33044400420024} 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 33044400420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48969620262720).

33044400420024 is an abundant number, since it is smaller than the sum of its proper divisors (64894840105416).

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

33044400420024 is a wasteful number, since it uses less digits than its factorization.

33044400420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149250 (or 149239 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 33044400420024 its reverse (42002400444033), we get a palindrome (75046800864057).

The spelling of 33044400420024 in words is "thirty-three trillion, forty-four billion, four hundred million, four hundred twenty thousand, twenty-four".