224331320400 has 720 divisors, whose sum is σ = 835152975360. Its totient is φ = 51038438400.

The previous prime is 224331320377. The next prime is 224331320429. The reversal of 224331320400 is 4023133422.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 852970669 + ... + 852970931.

It is an arithmetic number, because the mean of its divisors is an integer number (1159934688).

Almost surely, 2^224331320400 is an apocalyptic number.

224331320400 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 224331320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417576487680).

224331320400 is an abundant number, since it is smaller than the sum of its proper divisors (610821654960).

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

224331320400 is a wasteful number, since it uses less digits than its factorization.

224331320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 224331320400 its reverse (4023133422), we get a palindrome (228354453822).

The spelling of 224331320400 in words is "two hundred twenty-four billion, three hundred thirty-one million, three hundred twenty thousand, four hundred".