14202421024400 has 240 divisors, whose sum is σ = 39589018712064. Its totient is φ = 4795366371840.

The previous prime is 14202421024381. The next prime is 14202421024409. The reversal of 14202421024400 is 442012420241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14202421024400.

It is not an unprimeable number, because it can be changed into a prime (14202421024409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837250319 + ... + 837267281.

Almost surely, 2^{14202421024400} is an apocalyptic number.

14202421024400 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 14202421024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19794509356032).

14202421024400 is an abundant number, since it is smaller than the sum of its proper divisors (25386597687664).

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

14202421024400 is a wasteful number, since it uses less digits than its factorization.

14202421024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21518 (or 21507 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 14202421024400 its reverse (442012420241), we get a palindrome (14644433444641).

The spelling of 14202421024400 in words is "fourteen trillion, two hundred two billion, four hundred twenty-one million, twenty-four thousand, four hundred".