33004413402040 has 256 divisors, whose sum is σ = 79676327808000. Its totient is φ = 12276762624000.

The previous prime is 33004413401989. The next prime is 33004413402061. The reversal of 33004413402040 is 4020431440033.

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, 6979150396 + ... + 6979155124.

It is an arithmetic number, because the mean of its divisors is an integer number (311235655500).

Almost surely, 2^{33004413402040} 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 33004413402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39838163904000).

33004413402040 is an abundant number, since it is smaller than the sum of its proper divisors (46671914405960).

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

33004413402040 is a wasteful number, since it uses less digits than its factorization.

33004413402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 33004413402040 its reverse (4020431440033), we get a palindrome (37024844842073).

The spelling of 33004413402040 in words is "thirty-three trillion, four billion, four hundred thirteen million, four hundred two thousand, forty".