11014304400 has 960 divisors, whose sum is σ = 46497024000. Its totient is φ = 2448230400.

The previous prime is 11014304333. The next prime is 11014304407. The reversal of 11014304400 is 440341011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014304407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79239531 + ... + 79239669.

It is an arithmetic number, because the mean of its divisors is an integer number (48434400).

Almost surely, 2^11014304400 is an apocalyptic number.

11014304400 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 11014304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248512000).

11014304400 is an abundant number, since it is smaller than the sum of its proper divisors (35482719600).

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

11014304400 is a wasteful number, since it uses less digits than its factorization.

11014304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11014304400 its reverse (440341011), we get a palindrome (11454645411).

The spelling of 11014304400 in words is "eleven billion, fourteen million, three hundred four thousand, four hundred".