11303414400 has 192 divisors, whose sum is σ = 38850102720. Its totient is φ = 2883133440.

The previous prime is 11303414383. The next prime is 11303414407. The reversal of 11303414400 is 441430311.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (11303414407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195204 + ... + 246396.

It is an arithmetic number, because the mean of its divisors is an integer number (202344285).

Almost surely, 2^11303414400 is an apocalyptic number.

11303414400 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 11303414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19425051360).

11303414400 is an abundant number, since it is smaller than the sum of its proper divisors (27546688320).

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

11303414400 is a wasteful number, since it uses less digits than its factorization.

11303414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51243 (or 51226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11303414400 its reverse (441430311), we get a palindrome (11744844711).

The spelling of 11303414400 in words is "eleven billion, three hundred three million, four hundred fourteen thousand, four hundred".