1316673792000 has 1920 divisors, whose sum is σ = 5758333701120. Its totient is φ = 293024563200.

The previous prime is 1316673791911. The next prime is 1316673792001. The reversal of 1316673792000 is 2973766131.

1316673792000 is a `hidden beast` number, since 1 + 3 + 16 + 67 + 379 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (1316673792001) 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 159 ways as a sum of consecutive naturals, for example, 6822143904 + ... + 6822144096.

It is an arithmetic number, because the mean of its divisors is an integer number (2999132136).

Almost surely, 2^{1316673792000} is an apocalyptic number.

1316673792000 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 1316673792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879166850560).

1316673792000 is an abundant number, since it is smaller than the sum of its proper divisors (4441659909120).

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

1316673792000 is an equidigital number, since it uses as much as digits as its factorization.

1316673792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 1316673792000 in words is "one trillion, three hundred sixteen billion, six hundred seventy-three million, seven hundred ninety-two thousand".