1321442504000 has 224 divisors, whose sum is σ = 3467433000096. Its totient is φ = 497142988800.

The previous prime is 1321442503991. The next prime is 1321442504023. The reversal of 1321442504000 is 4052441231.

It can be written as a sum of positive squares in 16 ways, for example, as 1312362701056 + 9079802944 = 1145584^2 + 95288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292805744 + ... + 292810256.

Almost surely, 2^{1321442504000} is an apocalyptic number.

1321442504000 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 1321442504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733716500048).

1321442504000 is an abundant number, since it is smaller than the sum of its proper divisors (2145990496096).

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

1321442504000 is a wasteful number, since it uses less digits than its factorization.

1321442504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6710 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 1321442504000 its reverse (4052441231), we get a palindrome (1325494945231).

The spelling of 1321442504000 in words is "one trillion, three hundred twenty-one billion, four hundred forty-two million, five hundred four thousand".