14202312321340 has 384 divisors, whose sum is σ = 36722847006720. Its totient is φ = 4543025356800.

The previous prime is 14202312321313. The next prime is 14202312321419. The reversal of 14202312321340 is 4312321320241.

It is a junction number, because it is equal to n+sod(n) for n = 14202312321299 and 14202312321308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5365435897 + ... + 5365438543.

It is an arithmetic number, because the mean of its divisors is an integer number (95632414080).

Almost surely, 2^{14202312321340} is an apocalyptic number.

14202312321340 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 14202312321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361423503360).

14202312321340 is an abundant number, since it is smaller than the sum of its proper divisors (22520534685380).

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

14202312321340 is a wasteful number, since it uses less digits than its factorization.

14202312321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14202312321340 its reverse (4312321320241), we get a palindrome (18514633641581).

The spelling of 14202312321340 in words is "fourteen trillion, two hundred two billion, three hundred twelve million, three hundred twenty-one thousand, three hundred forty".