1344513412000 has 192 divisors, whose sum is σ = 3606294182400. Its totient is φ = 488573568000.

The previous prime is 1344513411977. The next prime is 1344513412001. The reversal of 1344513412000 is 2143154431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344513412000.

It is not an unprimeable number, because it can be changed into a prime (1344513412001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68146137 + ... + 68165863.

It is an arithmetic number, because the mean of its divisors is an integer number (18782782200).

Almost surely, 2^{1344513412000} is an apocalyptic number.

1344513412000 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 1344513412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803147091200).

1344513412000 is an abundant number, since it is smaller than the sum of its proper divisors (2261780770400).

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

1344513412000 is a wasteful number, since it uses less digits than its factorization.

1344513412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21312 (or 21294 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 1344513412000 its reverse (2143154431), we get a palindrome (1346656566431).

The spelling of 1344513412000 in words is "one trillion, three hundred forty-four billion, five hundred thirteen million, four hundred twelve thousand".