1224340441344 has 288 divisors, whose sum is σ = 3712871057280. Its totient is φ = 397733068800.

The previous prime is 1224340441333. The next prime is 1224340441351. The reversal of 1224340441344 is 4431440434221.

1224340441344 is a `hidden beast` number, since 1 + 2 + 243 + 404 + 4 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1224340441299 and 1224340441308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367557759 + ... + 367561089.

Almost surely, 2^{1224340441344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224340441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856435528640).

1224340441344 is an abundant number, since it is smaller than the sum of its proper divisors (2488530615936).

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

1224340441344 is a wasteful number, since it uses less digits than its factorization.

1224340441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1224340441344 its reverse (4431440434221), we get a palindrome (5655780875565).

The spelling of 1224340441344 in words is "one trillion, two hundred twenty-four billion, three hundred forty million, four hundred forty-one thousand, three hundred forty-four".