1321388183680 has 256 divisors, whose sum is σ = 3481803325440. Its totient is φ = 477880381440.

The previous prime is 1321388183669. The next prime is 1321388183683. The reversal of 1321388183680 is 863818831231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1321388183683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19588089 + ... + 19655431.

It is an arithmetic number, because the mean of its divisors is an integer number (13600794240).

Almost surely, 2^{1321388183680} is an apocalyptic number.

1321388183680 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 1321388183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740901662720).

1321388183680 is an abundant number, since it is smaller than the sum of its proper divisors (2160415141760).

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

1321388183680 is a wasteful number, since it uses less digits than its factorization.

1321388183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67459 (or 67447 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 1321388183680 in words is "one trillion, three hundred twenty-one billion, three hundred eighty-eight million, one hundred eighty-three thousand, six hundred eighty".