14236400013000 has 512 divisors, whose sum is σ = 49450470451200. Its totient is φ = 3380597376000.

The previous prime is 14236400012993. The next prime is 14236400013001. The reversal of 14236400013000 is 31000463241.

14236400013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14236400013001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1124600671 + ... + 1124613329.

It is an arithmetic number, because the mean of its divisors is an integer number (96582950100).

Almost surely, 2^{14236400013000} is an apocalyptic number.

14236400013000 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 14236400013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24725235225600).

14236400013000 is an abundant number, since it is smaller than the sum of its proper divisors (35214070438200).

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

14236400013000 is a wasteful number, since it uses less digits than its factorization.

14236400013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13390 (or 13376 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14236400013000 its reverse (31000463241), we get a palindrome (14267400476241).

The spelling of 14236400013000 in words is "fourteen trillion, two hundred thirty-six billion, four hundred million, thirteen thousand".