1344480284160 has 960 divisors, whose sum is σ = 5208304147200. Its totient is φ = 328588296192.

The previous prime is 1344480284141. The next prime is 1344480284209. The reversal of 1344480284160 is 614820844431.

1344480284160 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 480 + 2 + 8 + 4 + 160 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2090948799 + ... + 2090949441.

It is an arithmetic number, because the mean of its divisors is an integer number (5425316820).

Almost surely, 2^{1344480284160} is an apocalyptic number.

1344480284160 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 1344480284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604152073600).

1344480284160 is an abundant number, since it is smaller than the sum of its proper divisors (3863823863040).

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

1344480284160 is a wasteful number, since it uses less digits than its factorization.

1344480284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1344480284160 in words is "one trillion, three hundred forty-four billion, four hundred eighty million, two hundred eighty-four thousand, one hundred sixty".