11405230200 has 864 divisors, whose sum is σ = 49782751200. Its totient is φ = 2323399680.

The previous prime is 11405230189. The next prime is 11405230241. The reversal of 11405230200 is 203250411.

11405230200 is a `hidden beast` number, since 1 + 140 + 523 + 0 + 2 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 393283786 + ... + 393283814.

It is an arithmetic number, because the mean of its divisors is an integer number (57618925).

Almost surely, 2^11405230200 is an apocalyptic number.

11405230200 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 11405230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24891375600).

11405230200 is an abundant number, since it is smaller than the sum of its proper divisors (38377521000).

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

11405230200 is a wasteful number, since it uses less digits than its factorization.

11405230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 11405230200 its reverse (203250411), we get a palindrome (11608480611).

The spelling of 11405230200 in words is "eleven billion, four hundred five million, two hundred thirty thousand, two hundred".