33023414440000 has 140 divisors (see below), whose sum is σ = 81894941951724. Its totient is φ = 13208138752000.

The previous prime is 33023414439923. The next prime is 33023414440001. The reversal of 33023414440000 is 4441432033.

It can be written as a sum of positive squares in 10 ways, for example, as 32597339710464 + 426074729536 = 5709408^2 + 652744^2 .

It is not an unprimeable number, because it can be changed into a prime (33023414440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 518088132 + ... + 518151868.

Almost surely, 2^{33023414440000} 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 33023414440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947470975862).

33023414440000 is an abundant number, since it is smaller than the sum of its proper divisors (48871527511724).

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

33023414440000 is an equidigital number, since it uses as much as digits as its factorization.

33023414440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76722 (or 76697 counting only the distinct ones).

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

Adding to 33023414440000 its reverse (4441432033), we get a palindrome (33027855872033).

The spelling of 33023414440000 in words is "thirty-three trillion, twenty-three billion, four hundred fourteen million, four hundred forty thousand".