11011440400 has 30 divisors (see below), whose sum is σ = 26454986522. Its totient is φ = 4404576000.

The previous prime is 11011440383. The next prime is 11011440403. The reversal of 11011440400 is 404411011.

It can be written as a sum of positive squares in 3 ways, for example, as 2623078656 + 8388361744 = 51216^2 + 91588^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11011440403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13763901 + ... + 13764700.

Almost surely, 2^11011440400 is an apocalyptic number.

11011440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011440400 is an abundant number, since it is smaller than the sum of its proper divisors (15443546122).

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

11011440400 is a wasteful number, since it uses less digits than its factorization.

11011440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27528619 (or 27528608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11011440400 its reverse (404411011), we get a palindrome (11415851411).

The spelling of 11011440400 in words is "eleven billion, eleven million, four hundred forty thousand, four hundred".