1321443242240 has 144 divisors (see below), whose sum is σ = 3454751139840. Its totient is φ = 480284098560.

The previous prime is 1321443242183. The next prime is 1321443242261. The reversal of 1321443242240 is 422423441231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1321443242197 and 1321443242206.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29390657 + ... + 29435583.

It is an arithmetic number, because the mean of its divisors is an integer number (23991327360).

Almost surely, 2^{1321443242240} is an apocalyptic number.

1321443242240 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 1321443242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727375569920).

1321443242240 is an abundant number, since it is smaller than the sum of its proper divisors (2133307897600).

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

1321443242240 is a wasteful number, since it uses less digits than its factorization.

1321443242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47048 (or 47034 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1321443242240 its reverse (422423441231), we get a palindrome (1743866683471).

The spelling of 1321443242240 in words is "one trillion, three hundred twenty-one billion, four hundred forty-three million, two hundred forty-two thousand, two hundred forty".