11041228800 has 864 divisors, whose sum is σ = 47467274400. Its totient is φ = 2508226560.

The previous prime is 11041228787. The next prime is 11041228813. The reversal of 11041228800 is 882214011.

It is an interprime number because it is at equal distance from previous prime (11041228787) and next prime (11041228813).

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67737519 + ... + 67737681.

It is an arithmetic number, because the mean of its divisors is an integer number (54938975).

Almost surely, 2^11041228800 is an apocalyptic number.

11041228800 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 11041228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23733637200).

11041228800 is an abundant number, since it is smaller than the sum of its proper divisors (36426045600).

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

11041228800 is a wasteful number, since it uses less digits than its factorization.

11041228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 11041228800 in words is "eleven billion, forty-one million, two hundred twenty-eight thousand, eight hundred".