224012440440 has 96 divisors (see below), whose sum is σ = 729166445280. Its totient is φ = 59644260096.

The previous prime is 224012440433. The next prime is 224012440447. The reversal of 224012440440 is 44044210422.

224012440440 is a `hidden beast` number, since 2 + 240 + 12 + 4 + 404 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (224012440433) and next prime (224012440447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224012440447) 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 23 ways as a sum of consecutive naturals, for example, 247959 + ... + 713798.

It is an arithmetic number, because the mean of its divisors is an integer number (7595483805).

Almost surely, 2^224012440440 is an apocalyptic number.

224012440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224012440440 is an abundant number, since it is smaller than the sum of its proper divisors (505154004840).

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

224012440440 is a wasteful number, since it uses less digits than its factorization.

224012440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962421 (or 962414 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 224012440440 its reverse (44044210422), we get a palindrome (268056650862).

The spelling of 224012440440 in words is "two hundred twenty-four billion, twelve million, four hundred forty thousand, four hundred forty".