1381368144000 has 512 divisors, whose sum is σ = 4961043360000. Its totient is φ = 340003123200.

The previous prime is 1381368143927. The next prime is 1381368144007. The reversal of 1381368144000 is 4418631831.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1381368144000.

It is not an unprimeable number, because it can be changed into a prime (1381368144007) 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 63 ways as a sum of consecutive naturals, for example, 105449451 + ... + 105462549.

Almost surely, 2^{1381368144000} is an apocalyptic number.

1381368144000 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 1381368144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480521680000).

1381368144000 is an abundant number, since it is smaller than the sum of its proper divisors (3579675216000).

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

1381368144000 is an equidigital number, since it uses as much as digits as its factorization.

1381368144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13170 (or 13122 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 1381368144000 in words is "one trillion, three hundred eighty-one billion, three hundred sixty-eight million, one hundred forty-four thousand".