14123440100000 has 576 divisors, whose sum is σ = 43576830904320. Its totient is φ = 4377091200000.

The previous prime is 14123440099997. The next prime is 14123440100009. The reversal of 14123440100000 is 104432141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14123440100009) 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 95 ways as a sum of consecutive naturals, for example, 1378294877 + ... + 1378305123.

It is an arithmetic number, because the mean of its divisors is an integer number (75654220320).

Almost surely, 2^{14123440100000} is an apocalyptic number.

14123440100000 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 14123440100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21788415452160).

14123440100000 is an abundant number, since it is smaller than the sum of its proper divisors (29453390804320).

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

14123440100000 is a wasteful number, since it uses less digits than its factorization.

14123440100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10479 (or 10451 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14123440100000 its reverse (104432141), we get a palindrome (14123544532141).

The spelling of 14123440100000 in words is "fourteen trillion, one hundred twenty-three billion, four hundred forty million, one hundred thousand".