224442442400 has 288 divisors, whose sum is σ = 612821401920. Its totient is φ = 79580160000.

The previous prime is 224442442349. The next prime is 224442442423. The reversal of 224442442400 is 4244244422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59547716 + ... + 59551484.

It is an arithmetic number, because the mean of its divisors is an integer number (2127852090).

Almost surely, 2^224442442400 is an apocalyptic number.

224442442400 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 224442442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306410700960).

224442442400 is an abundant number, since it is smaller than the sum of its proper divisors (388378959520).

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

224442442400 is a wasteful number, since it uses less digits than its factorization.

224442442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 224442442400 its reverse (4244244422), we get a palindrome (228686686822).

The spelling of 224442442400 in words is "two hundred twenty-four billion, four hundred forty-two million, four hundred forty-two thousand, four hundred".