1330217441280 has 2304 divisors, whose sum is σ = 6043040640000. Its totient is φ = 277279801344.

The previous prime is 1330217441279. The next prime is 1330217441281. The reversal of 1330217441280 is 821447120331.

1330217441280 is a `hidden beast` number, since 1 + 3 + 302 + 1 + 74 + 4 + 1 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (1330217441279) and next prime (1330217441281).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330217441281) 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 191 ways as a sum of consecutive naturals, for example, 16026716119 + ... + 16026716201.

It is an arithmetic number, because the mean of its divisors is an integer number (2622847500).

Almost surely, 2^{1330217441280} is an apocalyptic number.

1330217441280 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 1330217441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021520320000).

1330217441280 is an abundant number, since it is smaller than the sum of its proper divisors (4712823198720).

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

1330217441280 is an equidigital number, since it uses as much as digits as its factorization.

1330217441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1330217441280 in words is "one trillion, three hundred thirty billion, two hundred seventeen million, four hundred forty-one thousand, two hundred eighty".