1331068788000 has 3840 divisors, whose sum is σ = 6575733964800. Its totient is φ = 256197427200.

The previous prime is 1331068787927. The next prime is 1331068788011. The reversal of 1331068788000 is 8878601331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 16848971961 + ... + 16848972039.

It is an arithmetic number, because the mean of its divisors is an integer number (1712430720).

Almost surely, 2^{1331068788000} is an apocalyptic number.

1331068788000 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 1331068788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287866982400).

1331068788000 is an abundant number, since it is smaller than the sum of its proper divisors (5244665176800).

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

1331068788000 is a wasteful number, since it uses less digits than its factorization.

1331068788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1331068788000 in words is "one trillion, three hundred thirty-one billion, sixty-eight million, seven hundred eighty-eight thousand".