14214112002240 has 224 divisors, whose sum is σ = 45278528655360. Its totient is φ = 3777951338496.

The previous prime is 14214112002179. The next prime is 14214112002241. The reversal of 14214112002240 is 4220021141241.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14214112002240.

It is not an unprimeable number, because it can be changed into a prime (14214112002241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629851437 + ... + 629874003.

It is an arithmetic number, because the mean of its divisors is an integer number (202136288640).

Almost surely, 2^{14214112002240} is an apocalyptic number.

14214112002240 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 14214112002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22639264327680).

14214112002240 is an abundant number, since it is smaller than the sum of its proper divisors (31064416653120).

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

14214112002240 is a wasteful number, since it uses less digits than its factorization.

14214112002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24719 (or 24709 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14214112002240 its reverse (4220021141241), we get a palindrome (18434133143481).

The spelling of 14214112002240 in words is "fourteen trillion, two hundred fourteen billion, one hundred twelve million, two thousand, two hundred forty".