11314440400 has 60 divisors (see below), whose sum is σ = 27261167500. Its totient is φ = 4512752640.

The previous prime is 11314440377. The next prime is 11314440421. The reversal of 11314440400 is 404441311.

It can be written as a sum of positive squares in 6 ways, for example, as 669153424 + 10645286976 = 25868^2 + 103176^2 .

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, 99076 + ... + 180124.

Almost surely, 2^11314440400 is an apocalyptic number.

11314440400 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 11314440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13630583750).

11314440400 is an abundant number, since it is smaller than the sum of its proper divisors (15946727100).

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

11314440400 is a wasteful number, since it uses less digits than its factorization.

11314440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81416 (or 81405 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11314440400 its reverse (404441311), we get a palindrome (11718881711).

The spelling of 11314440400 in words is "eleven billion, three hundred fourteen million, four hundred forty thousand, four hundred".