224113121440 has 96 divisors (see below), whose sum is σ = 576602666640. Its totient is φ = 81819623424.

The previous prime is 224113121423. The next prime is 224113121443. The reversal of 224113121440 is 44121311422.

It can be written as a sum of positive squares in 8 ways, for example, as 1774224 + 224111347216 = 1332^2 + 473404^2 .

It is not an unprimeable number, because it can be changed into a prime (224113121443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420199 + ... + 790438.

Almost surely, 2^224113121440 is an apocalyptic number.

224113121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224113121440 is an abundant number, since it is smaller than the sum of its proper divisors (352489545200).

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

224113121440 is a wasteful number, since it uses less digits than its factorization.

224113121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210754 (or 1210746 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 224113121440 its reverse (44121311422), we get a palindrome (268234432862).

The spelling of 224113121440 in words is "two hundred twenty-four billion, one hundred thirteen million, one hundred twenty-one thousand, four hundred forty".