11482210404 has 240 divisors, whose sum is σ = 35634170880. Its totient is φ = 3154878720.

The previous prime is 11482210379. The next prime is 11482210423. The reversal of 11482210404 is 40401228411.

11482210404 is a `hidden beast` number, since 1 + 1 + 48 + 2 + 210 + 404 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13850262 + ... + 13851090.

It is an arithmetic number, because the mean of its divisors is an integer number (148475712).

Almost surely, 2^11482210404 is an apocalyptic number.

11482210404 is a gapful number since it is divisible by the number (14) 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 11482210404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17817085440).

11482210404 is an abundant number, since it is smaller than the sum of its proper divisors (24151960476).

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

11482210404 is a wasteful number, since it uses less digits than its factorization.

11482210404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1069 counting only the distinct ones).

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

Adding to 11482210404 its reverse (40401228411), we get a palindrome (51883438815).

The spelling of 11482210404 in words is "eleven billion, four hundred eighty-two million, two hundred ten thousand, four hundred four".