224141414400 has 234 divisors, whose sum is σ = 802829643330. Its totient is φ = 59770798080.

The previous prime is 224141414383. The next prime is 224141414443. The reversal of 224141414400 is 4414141422.

It is a happy number.

224141414400 is a `hidden beast` number, since 2 + 241 + 4 + 1 + 4 + 14 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3406823424 + 220734590976 = 58368^2 + 469824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 799996 + ... + 1043204.

Almost surely, 2^224141414400 is an apocalyptic number.

224141414400 is a gapful number since it is divisible by the number (20) 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 224141414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401414821665).

224141414400 is an abundant number, since it is smaller than the sum of its proper divisors (578688228930).

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

224141414400 is a wasteful number, since it uses less digits than its factorization.

224141414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243249 (or 243219 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 224141414400 its reverse (4414141422), we get a palindrome (228555555822).

The spelling of 224141414400 in words is "two hundred twenty-four billion, one hundred forty-one million, four hundred fourteen thousand, four hundred".