11191091040 has 576 divisors, whose sum is σ = 41409688320. Its totient is φ = 2747105280.

The previous prime is 11191091027. The next prime is 11191091053. The reversal of 11191091040 is 4019019111.

11191091040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11191091027) and next prime (11191091053).

It is a junction number, because it is equal to n+sod(n) for n = 11191090995 and 11191091013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102670506 + ... + 102670614.

It is an arithmetic number, because the mean of its divisors is an integer number (71891820).

Almost surely, 2^11191091040 is an apocalyptic number.

11191091040 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 11191091040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20704844160).

11191091040 is an abundant number, since it is smaller than the sum of its proper divisors (30218597280).

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

11191091040 is a wasteful number, since it uses less digits than its factorization.

11191091040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 11191091040 in words is "eleven billion, one hundred ninety-one million, ninety-one thousand, forty".