33023040310144 has 128 divisors (see below), whose sum is σ = 68211903708000. Its totient is φ = 15905830993920.

The previous prime is 33023040310121. The next prime is 33023040310147. The reversal of 33023040310144 is 44101304032033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33023040310147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3257026227 + ... + 3257036365.

Almost surely, 2^{33023040310144} 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 33023040310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34105951854000).

33023040310144 is an abundant number, since it is smaller than the sum of its proper divisors (35188863397856).

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

33023040310144 is a wasteful number, since it uses less digits than its factorization.

33023040310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12096 (or 12084 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 33023040310144 its reverse (44101304032033), we get a palindrome (77124344342177).

The spelling of 33023040310144 in words is "thirty-three trillion, twenty-three billion, forty million, three hundred ten thousand, one hundred forty-four".