14340220132960 has 192 divisors, whose sum is σ = 34300790737920. Its totient is φ = 5665188741120.

The previous prime is 14340220132957. The next prime is 14340220132961. The reversal of 14340220132960 is 6923102204341.

14340220132960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340220132961) 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, 3356005384 + ... + 3356009656.

It is an arithmetic number, because the mean of its divisors is an integer number (178649951760).

Almost surely, 2^{14340220132960} is an apocalyptic number.

14340220132960 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 14340220132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17150395368960).

14340220132960 is an abundant number, since it is smaller than the sum of its proper divisors (19960570604960).

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

14340220132960 is a wasteful number, since it uses less digits than its factorization.

14340220132960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 14340220132960 in words is "fourteen trillion, three hundred forty billion, two hundred twenty million, one hundred thirty-two thousand, nine hundred sixty".