1224253305440 has 192 divisors, whose sum is σ = 3344822994240. Its totient is φ = 418495856640.

The previous prime is 1224253305427. The next prime is 1224253305461. The reversal of 1224253305440 is 445033524221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1224253305440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25497776 + ... + 25545744.

It is an arithmetic number, because the mean of its divisors is an integer number (17420953095).

Almost surely, 2^{1224253305440} is an apocalyptic number.

1224253305440 is a gapful number since it is divisible by the number (10) 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 1224253305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672411497120).

1224253305440 is an abundant number, since it is smaller than the sum of its proper divisors (2120569688800).

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

1224253305440 is a wasteful number, since it uses less digits than its factorization.

1224253305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48865 (or 48857 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 1224253305440 its reverse (445033524221), we get a palindrome (1669286829661).

The spelling of 1224253305440 in words is "one trillion, two hundred twenty-four billion, two hundred fifty-three million, three hundred five thousand, four hundred forty".