14354044400000 has 192 divisors, whose sum is σ = 36503176772160. Its totient is φ = 5619448320000.

The previous prime is 14354044399993. The next prime is 14354044400029. The reversal of 14354044400000 is 444045341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18418244 + ... + 19181756.

It is an arithmetic number, because the mean of its divisors is an integer number (190120712355).

Almost surely, 2^{14354044400000} is an apocalyptic number.

14354044400000 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 14354044400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251588386080).

14354044400000 is an abundant number, since it is smaller than the sum of its proper divisors (22149132372160).

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

14354044400000 is an frugal number, since it uses more digits than its factorization.

14354044400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763599 (or 763567 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 14354044400000 its reverse (444045341), we get a palindrome (14354488445341).

The spelling of 14354044400000 in words is "fourteen trillion, three hundred fifty-four billion, forty-four million, four hundred thousand".