11040024400 has 60 divisors (see below), whose sum is σ = 28083891132. Its totient is φ = 4156241920.

The previous prime is 11040024353. The next prime is 11040024419. The reversal of 11040024400 is 442004011.

It can be written as a sum of positive squares in 6 ways, for example, as 96353856 + 10943670544 = 9816^2 + 104612^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 804967 + ... + 818566.

Almost surely, 2^11040024400 is an apocalyptic number.

11040024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11040024400 is an abundant number, since it is smaller than the sum of its proper divisors (17043866732).

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

11040024400 is a wasteful number, since it uses less digits than its factorization.

11040024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623568 (or 1623557 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 11040024400 its reverse (442004011), we get a palindrome (11482028411).

The spelling of 11040024400 in words is "eleven billion, forty million, twenty-four thousand, four hundred".