11041214400 has 1008 divisors, whose sum is σ = 45370113984. Its totient is φ = 2530344960.

The previous prime is 11041214389. The next prime is 11041214419. The reversal of 11041214400 is 441214011.

11041214400 is a `hidden beast` number, since 1 + 10 + 41 + 214 + 400 = 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 143 ways as a sum of consecutive naturals, for example, 208324774 + ... + 208324826.

Almost surely, 2^11041214400 is an apocalyptic number.

11041214400 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 11041214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685056992).

11041214400 is an abundant number, since it is smaller than the sum of its proper divisors (34328899584).

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

11041214400 is a wasteful number, since it uses less digits than its factorization.

11041214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

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

Adding to 11041214400 its reverse (441214011), we get a palindrome (11482428411).

The spelling of 11041214400 in words is "eleven billion, forty-one million, two hundred fourteen thousand, four hundred".