224411004243020 has 384 divisors, whose sum is σ = 554844913459200. Its totient is φ = 74662658703360.

The previous prime is 224411004242993. The next prime is 224411004243071. The reversal of 224411004243020 is 20342400114422.

It is a happy number.

It is a super-3 number, since 3×224411004243020³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194632266764 + ... + 194632267916.

It is an arithmetic number, because the mean of its divisors is an integer number (1444908628800).

Almost surely, 2^{224411004243020} is an apocalyptic number.

224411004243020 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 224411004243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277422456729600).

224411004243020 is an abundant number, since it is smaller than the sum of its proper divisors (330433909216180).

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

224411004243020 is a wasteful number, since it uses less digits than its factorization.

224411004243020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 224411004243020 its reverse (20342400114422), we get a palindrome (244753404357442).

The spelling of 224411004243020 in words is "two hundred twenty-four trillion, four hundred eleven billion, four million, two hundred forty-three thousand, twenty".