11041224480 has 768 divisors, whose sum is σ = 46302036480. Its totient is φ = 2421964800.

The previous prime is 11041224473. The next prime is 11041224487. The reversal of 11041224480 is 8442214011.

11041224480 is a `hidden beast` number, since 1 + 1 + 0 + 412 + 244 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11041224473) and next prime (11041224487).

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

It is not an unprimeable number, because it can be changed into a prime (11041224487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37683214 + ... + 37683506.

It is an arithmetic number, because the mean of its divisors is an integer number (60289110).

Almost surely, 2^11041224480 is an apocalyptic number.

11041224480 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 11041224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23151018240).

11041224480 is an abundant number, since it is smaller than the sum of its proper divisors (35260812000).

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

11041224480 is a wasteful number, since it uses less digits than its factorization.

11041224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11041224480 its reverse (8442214011), we get a palindrome (19483438491).

The spelling of 11041224480 in words is "eleven billion, forty-one million, two hundred twenty-four thousand, four hundred eighty".