224142334342240 has 96 divisors (see below), whose sum is σ = 532776607937280. Its totient is φ = 89108444265984.

The previous prime is 224142334342237. The next prime is 224142334342301. The reversal of 224142334342240 is 42243433241422.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 224142334342193 and 224142334342202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205815471 + ... + 206901649.

It is an arithmetic number, because the mean of its divisors is an integer number (5549756332680).

Almost surely, 2^{224142334342240} is an apocalyptic number.

224142334342240 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 224142334342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266388303968640).

224142334342240 is an abundant number, since it is smaller than the sum of its proper divisors (308634273595040).

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

224142334342240 is a wasteful number, since it uses less digits than its factorization.

224142334342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094084 (or 1094076 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 224142334342240 its reverse (42243433241422), we get a palindrome (266385767583662).

The spelling of 224142334342240 in words is "two hundred twenty-four trillion, one hundred forty-two billion, three hundred thirty-four million, three hundred forty-two thousand, two hundred forty".