224044220400 has 1440 divisors, whose sum is σ = 1003788086784. Its totient is φ = 41223168000.

The previous prime is 224044220341. The next prime is 224044220483. The reversal of 224044220400 is 4022440422.

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 287 ways as a sum of consecutive naturals, for example, 3155552365 + ... + 3155552435.

Almost surely, 2^224044220400 is an apocalyptic number.

224044220400 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 224044220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501894043392).

224044220400 is an abundant number, since it is smaller than the sum of its proper divisors (779743866384).

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

224044220400 is a wasteful number, since it uses less digits than its factorization.

224044220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 224044220400 its reverse (4022440422), we get a palindrome (228066660822).

It can be divided in two parts, 224044 and 220400, that added together give a palindrome (444444).

The spelling of 224044220400 in words is "two hundred twenty-four billion, forty-four million, two hundred twenty thousand, four hundred".