224230120444440 has 256 divisors, whose sum is σ = 817732075968000. Its totient is φ = 54202162429440.

The previous prime is 224230120444403. The next prime is 224230120444483. The reversal of 224230120444440 is 44444021032422.

224230120444440 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 3 + 0 + 1 + 204 + 4 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224230120444395 and 224230120444404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23074455 + ... + 31319174.

It is an arithmetic number, because the mean of its divisors is an integer number (3194265921750).

Almost surely, 2^{224230120444440} is an apocalyptic number.

224230120444440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224230120444440 is an abundant number, since it is smaller than the sum of its proper divisors (593501955523560).

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

224230120444440 is a wasteful number, since it uses less digits than its factorization.

224230120444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54394007 (or 54393997 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 224230120444440 its reverse (44444021032422), we get a palindrome (268674141476862).

The spelling of 224230120444440 in words is "two hundred twenty-four trillion, two hundred thirty billion, one hundred twenty million, four hundred forty-four thousand, four hundred forty".