1344541440000 has 960 divisors, whose sum is σ = 4943130192000. Its totient is φ = 322191360000.

The previous prime is 1344541439957. The next prime is 1344541440001. The reversal of 1344541440000 is 441454431.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1344541440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344541440001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5871359886 + ... + 5871360114.

It is an arithmetic number, because the mean of its divisors is an integer number (5149093950).

Almost surely, 2^{1344541440000} is an apocalyptic number.

1344541440000 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 1344541440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471565096000).

1344541440000 is an abundant number, since it is smaller than the sum of its proper divisors (3598588752000).

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

1344541440000 is a wasteful number, since it uses less digits than its factorization.

1344541440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1344541440000 its reverse (441454431), we get a palindrome (1344982894431).

The spelling of 1344541440000 in words is "one trillion, three hundred forty-four billion, five hundred forty-one million, four hundred forty thousand".