14001330314000 has 160 divisors (see below), whose sum is σ = 34190674442496. Its totient is φ = 5545142937600.

The previous prime is 14001330313987. The next prime is 14001330314003. The reversal of 14001330314000 is 41303310041.

14001330314000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14001330314003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218509967 + ... + 218574033.

Almost surely, 2^{14001330314000} is an apocalyptic number.

14001330314000 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 14001330314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095337221248).

14001330314000 is an abundant number, since it is smaller than the sum of its proper divisors (20189344128496).

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

14001330314000 is a wasteful number, since it uses less digits than its factorization.

14001330314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65170 (or 65154 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 14001330314000 its reverse (41303310041), we get a palindrome (14042633624041).

The spelling of 14001330314000 in words is "fourteen trillion, one billion, three hundred thirty million, three hundred fourteen thousand".