11040000000 has 384 divisors, whose sum is σ = 38390526720. Its totient is φ = 2816000000.

The previous prime is 11039999969. The next prime is 11040000007. The reversal of 11040000000 is 4011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (11040000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479999989 + ... + 480000011.

It is an arithmetic number, because the mean of its divisors is an integer number (99975330).

Almost surely, 2^11040000000 is an apocalyptic number.

11040000000 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 11040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195263360).

11040000000 is an abundant number, since it is smaller than the sum of its proper divisors (27350526720).

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

11040000000 is an frugal number, since it uses more digits than its factorization.

11040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 11040000000 its reverse (4011), we get a palindrome (11040004011).

The spelling of 11040000000 in words is "eleven billion, forty million", and thus it is an aban number and an uban number.