1224340439616 has 336 divisors, whose sum is σ = 4193639568000. Its totient is φ = 349255259136.

The previous prime is 1224340439591. The next prime is 1224340439629. The reversal of 1224340439616 is 6169340434221.

1224340439616 is a `hidden beast` number, since 1 + 2 + 24 + 3 + 4 + 0 + 4 + 3 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 54771610 + ... + 54793958.

Almost surely, 2^{1224340439616} is an apocalyptic number.

1224340439616 is a gapful number since it is divisible by the number (16) 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 1224340439616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096819784000).

1224340439616 is an abundant number, since it is smaller than the sum of its proper divisors (2969299128384).

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

1224340439616 is a wasteful number, since it uses less digits than its factorization.

1224340439616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23031 (or 23008 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1224340439616 in words is "one trillion, two hundred twenty-four billion, three hundred forty million, four hundred thirty-nine thousand, six hundred sixteen".