224003040414400 has 504 divisors, whose sum is σ = 610029424033200. Its totient is φ = 80897380761600.

The previous prime is 224003040414367. The next prime is 224003040414421. The reversal of 224003040414400 is 4414040300422.

It is a super-2 number, since 2×224003040414400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2952459666 + ... + 2952535534.

Almost surely, 2^{224003040414400} is an apocalyptic number.

224003040414400 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 224003040414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305014712016600).

224003040414400 is an abundant number, since it is smaller than the sum of its proper divisors (386026383618800).

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

224003040414400 is a wasteful number, since it uses less digits than its factorization.

224003040414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76157 (or 76129 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 224003040414400 its reverse (4414040300422), we get a palindrome (228417080714822).

The spelling of 224003040414400 in words is "two hundred twenty-four trillion, three billion, forty million, four hundred fourteen thousand, four hundred".