11023430400 has 216 divisors, whose sum is σ = 40422430160. Its totient is φ = 2939535360.

The previous prime is 11023430371. The next prime is 11023430419. The reversal of 11023430400 is 403432011.

11023430400 is a `hidden beast` number, since 1 + 1 + 0 + 234 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140904 + ... + 204696.

Almost surely, 2^11023430400 is an apocalyptic number.

11023430400 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 11023430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20211215080).

11023430400 is an abundant number, since it is smaller than the sum of its proper divisors (29398999760).

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

11023430400 is an equidigital number, since it uses as much as digits as its factorization.

11023430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63828 (or 63803 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11023430400 its reverse (403432011), we get a palindrome (11426862411).

The spelling of 11023430400 in words is "eleven billion, twenty-three million, four hundred thirty thousand, four hundred".