1091118003840 has 960 divisors, whose sum is σ = 4210522668000. Its totient is φ = 268519587840.

The previous prime is 1091118003817. The next prime is 1091118003841. The reversal of 1091118003840 is 483008111901.

1091118003840 is a `hidden beast` number, since 10 + 91 + 1 + 180 + 0 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 1091118003795 and 1091118003804.

It is not an unprimeable number, because it can be changed into a prime (1091118003841) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1655717431 + ... + 1655718089.

Almost surely, 2^{1091118003840} is an apocalyptic number.

1091118003840 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 1091118003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105261334000).

1091118003840 is an abundant number, since it is smaller than the sum of its proper divisors (3119404664160).

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

1091118003840 is an equidigital number, since it uses as much as digits as its factorization.

1091118003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 1091118003840 in words is "one trillion, ninety-one billion, one hundred eighteen million, three thousand, eight hundred forty".