14201224413420 has 288 divisors, whose sum is σ = 43816058290368. Its totient is φ = 3434137344000.

The previous prime is 14201224413349. The next prime is 14201224413421. The reversal of 14201224413420 is 2431442210241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14201224413421) 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, 7630963290 + ... + 7630965150.

It is an arithmetic number, because the mean of its divisors is an integer number (152139091286).

Almost surely, 2^{14201224413420} is an apocalyptic number.

14201224413420 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 14201224413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21908029145184).

14201224413420 is an abundant number, since it is smaller than the sum of its proper divisors (29614833876948).

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

14201224413420 is a wasteful number, since it uses less digits than its factorization.

14201224413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14201224413420 its reverse (2431442210241), we get a palindrome (16632666623661).

The spelling of 14201224413420 in words is "fourteen trillion, two hundred one billion, two hundred twenty-four million, four hundred thirteen thousand, four hundred twenty".