1443313872000 has 6144 divisors, whose sum is σ = 8006816563200. Its totient is φ = 238878720000.

The previous prime is 1443313871947. The next prime is 1443313872037. The reversal of 1443313872000 is 2783133441.

1443313872000 is a `hidden beast` number, since 1 + 4 + 43 + 31 + 387 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 46558511985 + ... + 46558512015.

It is an arithmetic number, because the mean of its divisors is an integer number (1303192800).

Almost surely, 2^{1443313872000} is an apocalyptic number.

1443313872000 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 1443313872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003408281600).

1443313872000 is an abundant number, since it is smaller than the sum of its proper divisors (6563502691200).

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

1443313872000 is a wasteful number, since it uses less digits than its factorization.

1443313872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1443313872000 in words is "one trillion, four hundred forty-three billion, three hundred thirteen million, eight hundred seventy-two thousand".