1327381945344 has 1760 divisors, whose sum is σ = 5165363772800. Its totient is φ = 337105649664.

The previous prime is 1327381945343. The next prime is 1327381945391. The reversal of 1327381945344 is 4435491837231.

1327381945344 is a `hidden beast` number, since 1 + 3 + 2 + 73 + 81 + 9 + 453 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327381945343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13684349904 + ... + 13684350000.

It is an arithmetic number, because the mean of its divisors is an integer number (2934865780).

Almost surely, 2^{1327381945344} is an apocalyptic number.

1327381945344 is a gapful number since it is divisible by the number (14) 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 1327381945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582681886400).

1327381945344 is an abundant number, since it is smaller than the sum of its proper divisors (3837981827456).

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

1327381945344 is an equidigital number, since it uses as much as digits as its factorization.

1327381945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 159 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 1327381945344 in words is "one trillion, three hundred twenty-seven billion, three hundred eighty-one million, nine hundred forty-five thousand, three hundred forty-four".