1191141987840 has 1440 divisors, whose sum is σ = 5195929939200. Its totient is φ = 260270309376.

The previous prime is 1191141987829. The next prime is 1191141987881. The reversal of 1191141987840 is 487891411911.

It is a happy number.

1191141987840 is a `hidden beast` number, since 119 + 1 + 1 + 419 + 8 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 701083311 + ... + 701085009.

It is an arithmetic number, because the mean of its divisors is an integer number (3608284680).

Almost surely, 2^{1191141987840} is an apocalyptic number.

1191141987840 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 1191141987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597964969600).

1191141987840 is an abundant number, since it is smaller than the sum of its proper divisors (4004787951360).

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

1191141987840 is an equidigital number, since it uses as much as digits as its factorization.

1191141987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 1191141987840 in words is "one trillion, one hundred ninety-one billion, one hundred forty-one million, nine hundred eighty-seven thousand, eight hundred forty".