33340144000 has 128 divisors (see below), whose sum is σ = 83140836480. Its totient is φ = 13296025600.

The previous prime is 33340143943. The next prime is 33340144067. The reversal of 33340144000 is 44104333.

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

It is a super-2 number, since 2×33340144000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5645049 + ... + 5650951.

It is an arithmetic number, because the mean of its divisors is an integer number (649537785).

Almost surely, 2^33340144000 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 33340144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41570418240).

33340144000 is an abundant number, since it is smaller than the sum of its proper divisors (49800692480).

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

33340144000 is an equidigital number, since it uses as much as digits as its factorization.

33340144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 33340144000 its reverse (44104333), we get a palindrome (33384248333).

The spelling of 33340144000 in words is "thirty-three billion, three hundred forty million, one hundred forty-four thousand".