11041541204400 has 1080 divisors, whose sum is σ = 47202383854080. Its totient is φ = 2376512732160.

The previous prime is 11041541204389. The next prime is 11041541204431. The reversal of 11041541204400 is 440214514011.

It is a happy number.

11041541204400 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 1 + 54 + 1 + 204 + 400 = 666.

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, 559707337 + ... + 559727063.

It is an arithmetic number, because the mean of its divisors is an integer number (43705910976).

Almost surely, 2^{11041541204400} is an apocalyptic number.

11041541204400 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 11041541204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23601191927040).

11041541204400 is an abundant number, since it is smaller than the sum of its proper divisors (36160842649680).

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

11041541204400 is a wasteful number, since it uses less digits than its factorization.

11041541204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19951 (or 19930 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 11041541204400 its reverse (440214514011), we get a palindrome (11481755718411).

The spelling of 11041541204400 in words is "eleven trillion, forty-one billion, five hundred forty-one million, two hundred four thousand, four hundred".