14313540400000 has 288 divisors, whose sum is σ = 36329815758600. Its totient is φ = 5616948480000.

The previous prime is 14313540399989. The next prime is 14313540400007. The reversal of 14313540400000 is 404531341.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14313540400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1123593631 + ... + 1123606369.

Almost surely, 2^{14313540400000} is an apocalyptic number.

14313540400000 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 14313540400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164907879300).

14313540400000 is an abundant number, since it is smaller than the sum of its proper divisors (22016275358600).

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

14313540400000 is an frugal number, since it uses more digits than its factorization.

14313540400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12884 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 14313540400000 its reverse (404531341), we get a palindrome (14313944931341).

The spelling of 14313540400000 in words is "fourteen trillion, three hundred thirteen billion, five hundred forty million, four hundred thousand".