224124140240 has 320 divisors, whose sum is σ = 703874949120. Its totient is φ = 64093317120.

The previous prime is 224124140237. The next prime is 224124140249. The reversal of 224124140240 is 42041421422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224124140249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13364981 + ... + 13381739.

It is an arithmetic number, because the mean of its divisors is an integer number (2199609216).

Almost surely, 2^224124140240 is an apocalyptic number.

224124140240 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 224124140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351937474560).

224124140240 is an abundant number, since it is smaller than the sum of its proper divisors (479750808880).

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

224124140240 is a wasteful number, since it uses less digits than its factorization.

224124140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16970 (or 16964 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 224124140240 its reverse (42041421422), we get a palindrome (266165561662).

The spelling of 224124140240 in words is "two hundred twenty-four billion, one hundred twenty-four million, one hundred forty thousand, two hundred forty".