11109440 has 56 divisors (see below), whose sum is σ = 26746200. Its totient is φ = 4395008.

The previous prime is 11109419. The next prime is 11109443. The reversal of 11109440 is 4490111.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 11075584 = 184^2 + 3328^2 .

It is a super-2 number, since 2×11109440² = 246839314227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (11109443) 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 7 ways as a sum of consecutive naturals, for example, 47564 + ... + 47796.

Almost surely, 2^11109440 is an apocalyptic number.

11109440 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 11109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373100).

11109440 is an abundant number, since it is smaller than the sum of its proper divisors (15636760).

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

11109440 is a wasteful number, since it uses less digits than its factorization.

11109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11109440 is about 3333.0826572409. The cubic root of 11109440 is about 223.1331291648.

Adding to 11109440 its reverse (4490111), we get a palindrome (15599551).

The spelling of 11109440 in words is "eleven million, one hundred nine thousand, four hundred forty".