33144120433040 has 80 divisors (see below), whose sum is σ = 85140548834688. Its totient is φ = 11935274047488.

The previous prime is 33144120433007. The next prime is 33144120433043. The reversal of 33144120433040 is 4033402144133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 33144120432988 and 33144120433006.

It is not an unprimeable number, because it can be changed into a prime (33144120433043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529766042 + ... + 529828601.

Almost surely, 2^{33144120433040} is an apocalyptic number.

It is an amenable number.

33144120433040 is an abundant number, since it is smaller than the sum of its proper divisors (51996428401648).

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

33144120433040 is a wasteful number, since it uses less digits than its factorization.

33144120433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059594696 (or 1059594690 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 33144120433040 its reverse (4033402144133), we get a palindrome (37177522577173).

The spelling of 33144120433040 in words is "thirty-three trillion, one hundred forty-four billion, one hundred twenty million, four hundred thirty-three thousand, forty".