13014433344000 has 2560 divisors, whose sum is σ = 52947468288000. Its totient is φ = 2798788608000.

The previous prime is 13014433343971. The next prime is 13014433344007. The reversal of 13014433344000 is 44333441031.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13014433344007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54453695881 + ... + 54453696119.

It is an arithmetic number, because the mean of its divisors is an integer number (20682604800).

Almost surely, 2^{13014433344000} is an apocalyptic number.

13014433344000 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 13014433344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26473734144000).

13014433344000 is an abundant number, since it is smaller than the sum of its proper divisors (39933034944000).

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

13014433344000 is a wasteful number, since it uses less digits than its factorization.

13014433344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13014433344000 its reverse (44333441031), we get a palindrome (13058766785031).

The spelling of 13014433344000 in words is "thirteen trillion, fourteen billion, four hundred thirty-three million, three hundred forty-four thousand".