14135910328320 has 1536 divisors, whose sum is σ = 53648614656000. Its totient is φ = 3139394600960.

The previous prime is 14135910328307. The next prime is 14135910328327. The reversal of 14135910328320 is 2382301953141.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (14135910328327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60669142924 + ... + 60669143156.

It is an arithmetic number, because the mean of its divisors is an integer number (34927483500).

Almost surely, 2^{14135910328320} is an apocalyptic number.

14135910328320 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 14135910328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26824307328000).

14135910328320 is an abundant number, since it is smaller than the sum of its proper divisors (39512704327680).

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

14135910328320 is a wasteful number, since it uses less digits than its factorization.

14135910328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 14135910328320 in words is "fourteen trillion, one hundred thirty-five billion, nine hundred ten million, three hundred twenty-eight thousand, three hundred twenty".