11100444040 has 128 divisors (see below), whose sum is σ = 29523916800. Its totient is φ = 3675709440.

The previous prime is 11100444007. The next prime is 11100444053. The reversal of 11100444040 is 4044400111.

It is a junction number, because it is equal to n+sod(n) for n = 11100443999 and 11100444017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5875416 + ... + 5877304.

It is an arithmetic number, because the mean of its divisors is an integer number (230655600).

Almost surely, 2^11100444040 is an apocalyptic number.

11100444040 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 11100444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761958400).

11100444040 is an abundant number, since it is smaller than the sum of its proper divisors (18423472760).

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

11100444040 is a wasteful number, since it uses less digits than its factorization.

11100444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11100444040 its reverse (4044400111), we get a palindrome (15144844151).

It can be divided in two parts, 11 and 100444040, that added together give a triangular number (100444051 = T₁₄₁₇₃).

The spelling of 11100444040 in words is "eleven billion, one hundred million, four hundred forty-four thousand, forty".