1330288116480 has 360 divisors, whose sum is σ = 4966980191712. Its totient is φ = 339319259136.

The previous prime is 1330288116467. The next prime is 1330288116517. The reversal of 1330288116480 is 846118820331.

1330288116480 is a `hidden beast` number, since 1 + 3 + 30 + 28 + 8 + 116 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2105712 + ... + 2663568.

Almost surely, 2^{1330288116480} is an apocalyptic number.

1330288116480 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 1330288116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483490095856).

1330288116480 is an abundant number, since it is smaller than the sum of its proper divisors (3636692075232).

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

1330288116480 is an equidigital number, since it uses as much as digits as its factorization.

1330288116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557913 (or 557890 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1330288116480 in words is "one trillion, three hundred thirty billion, two hundred eighty-eight million, one hundred sixteen thousand, four hundred eighty".