1330864819200 has 2112 divisors, whose sum is σ = 6082125004800. Its totient is φ = 278293708800.

The previous prime is 1330864819187. The next prime is 1330864819217. The reversal of 1330864819200 is 29184680331.

1330864819200 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 86 + 481 + 92 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2849817367 + ... + 2849817833.

Almost surely, 2^{1330864819200} is an apocalyptic number.

1330864819200 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 1330864819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041062502400).

1330864819200 is an abundant number, since it is smaller than the sum of its proper divisors (4751260185600).

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

1330864819200 is a wasteful number, since it uses less digits than its factorization.

1330864819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1330864819200 in words is "one trillion, three hundred thirty billion, eight hundred sixty-four million, eight hundred nineteen thousand, two hundred".