224224231120340 has 96 divisors (see below), whose sum is σ = 515688634944000. Its totient is φ = 81217107993600.

The previous prime is 224224231120327. The next prime is 224224231120369. The reversal of 224224231120340 is 43021132422422.

It is a junction number, because it is equal to n+sod(n) for n = 224224231120297 and 224224231120306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127985480 + ... + 129725600.

It is an arithmetic number, because the mean of its divisors is an integer number (5371756614000).

Almost surely, 2^{224224231120340} is an apocalyptic number.

224224231120340 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 224224231120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257844317472000).

224224231120340 is an abundant number, since it is smaller than the sum of its proper divisors (291464403823660).

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

224224231120340 is a wasteful number, since it uses less digits than its factorization.

224224231120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742433 (or 1742431 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 224224231120340 its reverse (43021132422422), we get a palindrome (267245363542762).

The spelling of 224224231120340 in words is "two hundred twenty-four trillion, two hundred twenty-four billion, two hundred thirty-one million, one hundred twenty thousand, three hundred forty".