11332222440 has 512 divisors, whose sum is σ = 47253196800. Its totient is φ = 2099036160.

The previous prime is 11332222427. The next prime is 11332222441. The reversal of 11332222440 is 4422223311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11332222440.

It is not an unprimeable number, because it can be changed into a prime (11332222441) 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, 2982622 + ... + 2986418.

It is an arithmetic number, because the mean of its divisors is an integer number (92291400).

Almost surely, 2^11332222440 is an apocalyptic number.

11332222440 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 11332222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23626598400).

11332222440 is an abundant number, since it is smaller than the sum of its proper divisors (35920974360).

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

11332222440 is a wasteful number, since it uses less digits than its factorization.

11332222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11332222440 its reverse (4422223311), we get a palindrome (15754445751).

The spelling of 11332222440 in words is "eleven billion, three hundred thirty-two million, two hundred twenty-two thousand, four hundred forty".