33040411040432 has 80 divisors (see below), whose sum is σ = 68148180424800. Its totient is φ = 15473508526080.

The previous prime is 33040411040389. The next prime is 33040411040437. The reversal of 33040411040432 is 23404011404033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 33040411040395 and 33040411040404.

It is not an unprimeable number, because it can be changed into a prime (33040411040437) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 349435082 + ... + 349529622.

It is an arithmetic number, because the mean of its divisors is an integer number (851852255310).

Almost surely, 2^{33040411040432} 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 33040411040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34074090212400).

33040411040432 is an abundant number, since it is smaller than the sum of its proper divisors (35107769384368).

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

33040411040432 is a wasteful number, since it uses less digits than its factorization.

33040411040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107574 (or 107568 counting only the distinct ones).

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

Adding to 33040411040432 its reverse (23404011404033), we get a palindrome (56444422444465).

The spelling of 33040411040432 in words is "thirty-three trillion, forty billion, four hundred eleven million, forty thousand, four hundred thirty-two".