11411122240 has 112 divisors (see below), whose sum is σ = 31098817152. Its totient is φ = 3906809856.

The previous prime is 11411122189. The next prime is 11411122243. The reversal of 11411122240 is 4222111411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (11411122243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1759644 + ... + 1766116.

Almost surely, 2^11411122240 is an apocalyptic number.

11411122240 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 11411122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549408576).

11411122240 is an abundant number, since it is smaller than the sum of its proper divisors (19687694912).

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

11411122240 is an equidigital number, since it uses as much as digits as its factorization.

11411122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11411122240 its reverse (4222111411), we get a palindrome (15633233651).

The spelling of 11411122240 in words is "eleven billion, four hundred eleven million, one hundred twenty-two thousand, two hundred forty".