11330030400 has 252 divisors, whose sum is σ = 40254155712. Its totient is φ = 2788730880.

The previous prime is 11330030363. The next prime is 11330030423. The reversal of 11330030400 is 403003311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11330030400.

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 35 ways as a sum of consecutive naturals, for example, 804217 + ... + 818183.

Almost surely, 2^11330030400 is an apocalyptic number.

11330030400 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 11330030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127077856).

11330030400 is an abundant number, since it is smaller than the sum of its proper divisors (28924125312).

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

11330030400 is a wasteful number, since it uses less digits than its factorization.

11330030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14018 (or 13990 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11330030400 its reverse (403003311), we get a palindrome (11733033711).

The spelling of 11330030400 in words is "eleven billion, three hundred thirty million, thirty thousand, four hundred".