11038440 has 128 divisors (see below), whose sum is σ = 40124160. Its totient is φ = 2371584.

The previous prime is 11038429. The next prime is 11038477. The reversal of 11038440 is 4483011.

11038440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 13894 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (313470).

Almost surely, 2^11038440 is an apocalyptic number.

11038440 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 11038440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062080).

11038440 is an abundant number, since it is smaller than the sum of its proper divisors (29085720).

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

11038440 is a wasteful number, since it uses less digits than its factorization.

11038440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11038440 is about 3322.4147844602. The cubic root of 11038440 is about 222.6567678597.

The spelling of 11038440 in words is "eleven million, thirty-eight thousand, four hundred forty".