14314140212320 has 192 divisors, whose sum is σ = 36573455850624. Its totient is φ = 5262748139520.

The previous prime is 14314140212297. The next prime is 14314140212341. The reversal of 14314140212320 is 2321204141341.

It is a happy number.

It is a super-2 number, since 2×14314140212320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1615404690 + ... + 1615413550.

It is an arithmetic number, because the mean of its divisors is an integer number (190486749222).

Almost surely, 2^{14314140212320} is an apocalyptic number.

14314140212320 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 14314140212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18286727925312).

14314140212320 is an abundant number, since it is smaller than the sum of its proper divisors (22259315638304).

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

14314140212320 is a wasteful number, since it uses less digits than its factorization.

14314140212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12105 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14314140212320 its reverse (2321204141341), we get a palindrome (16635344353661).

The spelling of 14314140212320 in words is "fourteen trillion, three hundred fourteen billion, one hundred forty million, two hundred twelve thousand, three hundred twenty".