33033040000000 has 704 divisors, whose sum is σ = 88602888801024. Its totient is φ = 12265472000000.

The previous prime is 33033039999979. The next prime is 33033040000057. The reversal of 33033040000000 is 4033033.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145519999887 + ... + 145520000113.

Almost surely, 2^{33033040000000} 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 33033040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44301444400512).

33033040000000 is an abundant number, since it is smaller than the sum of its proper divisors (55569848801024).

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

33033040000000 is an frugal number, since it uses more digits than its factorization.

33033040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 33033040000000 its reverse (4033033), we get a palindrome (33033044033033).

The spelling of 33033040000000 in words is "thirty-three trillion, thirty-three billion, forty million", and thus it is an aban number and an uban number.