14314042544000 has 256 divisors, whose sum is σ = 35819901000000. Its totient is φ = 5688463564800.

The previous prime is 14314042543993. The next prime is 14314042544059. The reversal of 14314042544000 is 44524041341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1828332086 + ... + 1828339914.

Almost surely, 2^{14314042544000} is an apocalyptic number.

14314042544000 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 14314042544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909950500000).

14314042544000 is an abundant number, since it is smaller than the sum of its proper divisors (21505858456000).

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

14314042544000 is an equidigital number, since it uses as much as digits as its factorization.

14314042544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 14314042544000 its reverse (44524041341), we get a palindrome (14358566585341).

The spelling of 14314042544000 in words is "fourteen trillion, three hundred fourteen billion, forty-two million, five hundred forty-four thousand".