13320223440000 has 320 divisors, whose sum is σ = 44245230744000. Its totient is φ = 3549482496000.

The previous prime is 13320223439953. The next prime is 13320223440023. The reversal of 13320223440000 is 4432202331.

13320223440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 342940581 + ... + 342979419.

It is an arithmetic number, because the mean of its divisors is an integer number (138266346075).

Almost surely, 2^{13320223440000} is an apocalyptic number.

13320223440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320223440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22122615372000).

13320223440000 is an abundant number, since it is smaller than the sum of its proper divisors (30925007304000).

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

13320223440000 is an equidigital number, since it uses as much as digits as its factorization.

13320223440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40305 (or 40278 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13320223440000 its reverse (4432202331), we get a palindrome (13324655642331).

The spelling of 13320223440000 in words is "thirteen trillion, three hundred twenty billion, two hundred twenty-three million, four hundred forty thousand".