224023301413340 has 192 divisors, whose sum is σ = 554437328191488. Its totient is φ = 74959675084800.

The previous prime is 224023301413337. The next prime is 224023301413343. The reversal of 224023301413340 is 43314103320422.

It is an interprime number because it is at equal distance from previous prime (224023301413337) and next prime (224023301413343).

It is a super-2 number, since 2×224023301413340² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224023301413297 and 224023301413306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224023301413343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13449190292 + ... + 13449206948.

It is an arithmetic number, because the mean of its divisors is an integer number (2887694417664).

Almost surely, 2^{224023301413340} is an apocalyptic number.

224023301413340 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 224023301413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277218664095744).

224023301413340 is an abundant number, since it is smaller than the sum of its proper divisors (330414026778148).

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

224023301413340 is a wasteful number, since it uses less digits than its factorization.

224023301413340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31228 (or 31226 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 224023301413340 its reverse (43314103320422), we get a palindrome (267337404733762).

The spelling of 224023301413340 in words is "two hundred twenty-four trillion, twenty-three billion, three hundred one million, four hundred thirteen thousand, three hundred forty".