1344361864560 has 1280 divisors, whose sum is σ = 5391014952960. Its totient is φ = 271982592000.

The previous prime is 1344361864519. The next prime is 1344361864561. The reversal of 1344361864560 is 654681634431.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344361864561) 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 255 ways as a sum of consecutive naturals, for example, 4322706805 + ... + 4322707115.

It is an arithmetic number, because the mean of its divisors is an integer number (4211730432).

Almost surely, 2^{1344361864560} is an apocalyptic number.

1344361864560 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 1344361864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695507476480).

1344361864560 is an abundant number, since it is smaller than the sum of its proper divisors (4046653088400).

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

1344361864560 is a wasteful number, since it uses less digits than its factorization.

1344361864560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 1344361864560 in words is "one trillion, three hundred forty-four billion, three hundred sixty-one million, eight hundred sixty-four thousand, five hundred sixty".