11040334400 has 42 divisors (see below), whose sum is σ = 27166126770. Its totient is φ = 4416133120.

The previous prime is 11040334387. The next prime is 11040334421. The reversal of 11040334400 is 443304011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42198016 + 10998136384 = 6496^2 + 104872^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3448505 + ... + 3451704.

Almost surely, 2^11040334400 is an apocalyptic number.

11040334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11040334400 is an abundant number, since it is smaller than the sum of its proper divisors (16125792370).

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

11040334400 is an equidigital number, since it uses as much as digits as its factorization.

11040334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900231 (or 6900216 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11040334400 its reverse (443304011), we get a palindrome (11483638411).

The spelling of 11040334400 in words is "eleven billion, forty million, three hundred thirty-four thousand, four hundred".