224324124240 has 160 divisors (see below), whose sum is σ = 736703026560. Its totient is φ = 56270979072.

The previous prime is 224324124221. The next prime is 224324124293. The reversal of 224324124240 is 42421423422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224324124198 and 224324124207.

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, 8215731 + ... + 8242989.

It is an arithmetic number, because the mean of its divisors is an integer number (4604393916).

Almost surely, 2^224324124240 is an apocalyptic number.

224324124240 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 224324124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368351513280).

224324124240 is an abundant number, since it is smaller than the sum of its proper divisors (512378902320).

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

224324124240 is a wasteful number, since it uses less digits than its factorization.

224324124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29309 (or 29303 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 224324124240 its reverse (42421423422), we get a palindrome (266745547662).

The spelling of 224324124240 in words is "two hundred twenty-four billion, three hundred twenty-four million, one hundred twenty-four thousand, two hundred forty".