1344159582480 has 480 divisors, whose sum is σ = 5480523807360. Its totient is φ = 300790195200.

The previous prime is 1344159582463. The next prime is 1344159582487. The reversal of 1344159582480 is 842859514431.

1344159582480 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 59 + 582 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1344159582487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3199875 + ... + 3595485.

It is an arithmetic number, because the mean of its divisors is an integer number (11417757932).

Almost surely, 2^{1344159582480} is an apocalyptic number.

1344159582480 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 1344159582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740261903680).

1344159582480 is an abundant number, since it is smaller than the sum of its proper divisors (4136364224880).

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

1344159582480 is a wasteful number, since it uses less digits than its factorization.

1344159582480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395668 (or 395645 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1344159582480 in words is "one trillion, three hundred forty-four billion, one hundred fifty-nine million, five hundred eighty-two thousand, four hundred eighty".