13334011434000 has 240 divisors, whose sum is σ = 46722974538240. Its totient is φ = 3544152710400.

The previous prime is 13334011433989. The next prime is 13334011434001. The reversal of 13334011434000 is 43411043331.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (13334011434001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4319521 + ... + 6732479.

It is an arithmetic number, because the mean of its divisors is an integer number (194679060576).

Almost surely, 2^{13334011434000} is an apocalyptic number.

13334011434000 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 13334011434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23361487269120).

13334011434000 is an abundant number, since it is smaller than the sum of its proper divisors (33388963104240).

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

13334011434000 is a wasteful number, since it uses less digits than its factorization.

13334011434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413295 (or 2413276 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13334011434000 its reverse (43411043331), we get a palindrome (13377422477331).

The spelling of 13334011434000 in words is "thirteen trillion, three hundred thirty-four billion, eleven million, four hundred thirty-four thousand".