1321443322400 has 72 divisors (see below), whose sum is σ = 3226506185700. Its totient is φ = 528490050560.

The previous prime is 1321443322349. The next prime is 1321443322411. The reversal of 1321443322400 is 42233441231.

It can be written as a sum of positive squares in 6 ways, for example, as 440901312016 + 880542010384 = 664004^2 + 938372^2 .

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 11 ways as a sum of consecutive naturals, for example, 4824326 + ... + 5090874.

Almost surely, 2^{1321443322400} is an apocalyptic number.

1321443322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321443322400 is an abundant number, since it is smaller than the sum of its proper divisors (1905062863300).

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

1321443322400 is a wasteful number, since it uses less digits than its factorization.

1321443322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272766 (or 272753 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1321443322400 its reverse (42233441231), we get a palindrome (1363676763631).

The spelling of 1321443322400 in words is "one trillion, three hundred twenty-one billion, four hundred forty-three million, three hundred twenty-two thousand, four hundred".