1321483676800 has 384 divisors, whose sum is σ = 3810685564800. Its totient is φ = 443486208000.

The previous prime is 1321483676791. The next prime is 1321483676801. The reversal of 1321483676800 is 86763841231.

It is not an unprimeable number, because it can be changed into a prime (1321483676801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 201350319 + ... + 201356881.

It is an arithmetic number, because the mean of its divisors is an integer number (9923660325).

Almost surely, 2^{1321483676800} is an apocalyptic number.

1321483676800 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 1321483676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905342782400).

1321483676800 is an abundant number, since it is smaller than the sum of its proper divisors (2489201888000).

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

1321483676800 is a wasteful number, since it uses less digits than its factorization.

1321483676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 1321483676800 in words is "one trillion, three hundred twenty-one billion, four hundred eighty-three million, six hundred seventy-six thousand, eight hundred".