11040400 has 60 divisors (see below), whose sum is σ = 30321472. Its totient is φ = 3784320.

The previous prime is 11040383. The next prime is 11040413. The reversal of 11040400 is 404011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 829 + ... + 4771.

Almost surely, 2^11040400 is an apocalyptic number.

11040400 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 11040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160736).

11040400 is an abundant number, since it is smaller than the sum of its proper divisors (19281072).

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

11040400 is a wasteful number, since it uses less digits than its factorization.

11040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11040400 is about 3322.7097375486. The cubic root of 11040400 is about 222.6699454898.

Adding to 11040400 its reverse (404011), we get a palindrome (11444411).

It can be divided in two parts, 1 and 1040400, that added together give a palindrome (1040401).

The spelling of 11040400 in words is "eleven million, forty thousand, four hundred".