1191486320640 has 1872 divisors, whose sum is σ = 5348956279680. Its totient is φ = 242523832320.

The previous prime is 1191486320639. The next prime is 1191486320653. The reversal of 1191486320640 is 460236841911.

1191486320640 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 4 + 8 + 632 + 0 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6656348071 + ... + 6656348249.

It is an arithmetic number, because the mean of its divisors is an integer number (2857348440).

Almost surely, 2^{1191486320640} is an apocalyptic number.

1191486320640 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 1191486320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674478139840).

1191486320640 is an abundant number, since it is smaller than the sum of its proper divisors (4157469959040).

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

1191486320640 is a wasteful number, since it uses less digits than its factorization.

1191486320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 274 counting only the distinct ones).

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

The spelling of 1191486320640 in words is "one trillion, one hundred ninety-one billion, four hundred eighty-six million, three hundred twenty thousand, six hundred forty".