1330256908800 has 1200 divisors, whose sum is σ = 5291384579712. Its totient is φ = 328856371200.

The previous prime is 1330256908787. The next prime is 1330256908801. The reversal of 1330256908800 is 88096520331.

It is a happy number.

1330256908800 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 569 + 0 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (1330256908801) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1251417069 + ... + 1251418131.

Almost surely, 2^{1330256908800} is an apocalyptic number.

1330256908800 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 1330256908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645692289856).

1330256908800 is an abundant number, since it is smaller than the sum of its proper divisors (3961127670912).

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

1330256908800 is a wasteful number, since it uses less digits than its factorization.

1330256908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1330256908800 in words is "one trillion, three hundred thirty billion, two hundred fifty-six million, nine hundred eight thousand, eight hundred".