11411044200 has 288 divisors, whose sum is σ = 40634780160. Its totient is φ = 2864678400.

The previous prime is 11411044199. The next prime is 11411044259. The reversal of 11411044200 is 244011411.

11411044200 is a `hidden beast` number, since 1 + 141 + 104 + 420 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2061837 + ... + 2067363.

Almost surely, 2^11411044200 is an apocalyptic number.

11411044200 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 11411044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317390080).

11411044200 is an abundant number, since it is smaller than the sum of its proper divisors (29223735960).

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

11411044200 is a wasteful number, since it uses less digits than its factorization.

11411044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5605 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11411044200 its reverse (244011411), we get a palindrome (11655055611).

The spelling of 11411044200 in words is "eleven billion, four hundred eleven million, forty-four thousand, two hundred".