14240040100000 has 576 divisors, whose sum is σ = 41497208008704. Its totient is φ = 4741632000000.

The previous prime is 14240040099997. The next prime is 14240040100001. The reversal of 14240040100000 is 104004241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14240040100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1816096080 + ... + 1816103920.

It is an arithmetic number, because the mean of its divisors is an integer number (72043763904).

Almost surely, 2^{14240040100000} is an apocalyptic number.

14240040100000 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 14240040100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748604004352).

14240040100000 is an abundant number, since it is smaller than the sum of its proper divisors (27257167908704).

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

14240040100000 is a wasteful number, since it uses less digits than its factorization.

14240040100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 7999 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14240040100000 its reverse (104004241), we get a palindrome (14240144104241).

The spelling of 14240040100000 in words is "fourteen trillion, two hundred forty billion, forty million, one hundred thousand".