11040111040 has 112 divisors (see below), whose sum is σ = 30074616000. Its totient is φ = 3781435392.

The previous prime is 11040111037. The next prime is 11040111073. The reversal of 11040111040 is 4011104011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11040111040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3199236 + ... + 3202684.

Almost surely, 2^11040111040 is an apocalyptic number.

11040111040 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 11040111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037308000).

11040111040 is an abundant number, since it is smaller than the sum of its proper divisors (19034504960).

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

11040111040 is a wasteful number, since it uses less digits than its factorization.

11040111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11040111040 its reverse (4011104011), we get a palindrome (15051215051).

The spelling of 11040111040 in words is "eleven billion, forty million, one hundred eleven thousand, forty".