11113430400 has 288 divisors, whose sum is σ = 41989779000. Its totient is φ = 2789130240.

The previous prime is 11113430351. The next prime is 11113430441. The reversal of 11113430400 is 403431111.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 478251 + ... + 500949.

Almost surely, 2^11113430400 is an apocalyptic number.

11113430400 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 11113430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994889500).

11113430400 is an abundant number, since it is smaller than the sum of its proper divisors (30876348600).

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

11113430400 is a wasteful number, since it uses less digits than its factorization.

11113430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22746 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11113430400 its reverse (403431111), we get a palindrome (11516861511).

The spelling of 11113430400 in words is "eleven billion, one hundred thirteen million, four hundred thirty thousand, four hundred".