11040441100 has 144 divisors (see below), whose sum is σ = 26806096800. Its totient is φ = 3920209920.

The previous prime is 11040441079. The next prime is 11040441193. The reversal of 11040441100 is 114404011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4279611 + ... + 4282189.

It is an arithmetic number, because the mean of its divisors is an integer number (186153450).

Almost surely, 2^11040441100 is an apocalyptic number.

11040441100 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 11040441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403048400).

11040441100 is an abundant number, since it is smaller than the sum of its proper divisors (15765655700).

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

11040441100 is a wasteful number, since it uses less digits than its factorization.

11040441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11040441100 its reverse (114404011), we get a palindrome (11154845111).

The spelling of 11040441100 in words is "eleven billion, forty million, four hundred forty-one thousand, one hundred".