33040205133144 has 256 divisors, whose sum is σ = 94896269314560. Its totient is φ = 9494558208000.

The previous prime is 33040205133097. The next prime is 33040205133251. The reversal of 33040205133144 is 44133150204033.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408857847 + ... + 408938649.

It is an arithmetic number, because the mean of its divisors is an integer number (370688552010).

Almost surely, 2^{33040205133144} 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 33040205133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47448134657280).

33040205133144 is an abundant number, since it is smaller than the sum of its proper divisors (61856064181416).

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

33040205133144 is a wasteful number, since it uses less digits than its factorization.

33040205133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81922 (or 81918 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 33040205133144 its reverse (44133150204033), we get a palindrome (77173355337177).

The spelling of 33040205133144 in words is "thirty-three trillion, forty billion, two hundred five million, one hundred thirty-three thousand, one hundred forty-four".