11332189440 has 576 divisors, whose sum is σ = 47264474880. Its totient is φ = 2534768640.

The previous prime is 11332189403. The next prime is 11332189441. The reversal of 11332189440 is 4498123311.

11332189440 is a `hidden beast` number, since 1 + 1 + 3 + 32 + 189 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11332189395 and 11332189404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332189441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4940934 + ... + 4943226.

It is an arithmetic number, because the mean of its divisors is an integer number (82056380).

Almost surely, 2^11332189440 is an apocalyptic number.

11332189440 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 11332189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23632237440).

11332189440 is an abundant number, since it is smaller than the sum of its proper divisors (35932285440).

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

11332189440 is a wasteful number, since it uses less digits than its factorization.

11332189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11332189440 in words is "eleven billion, three hundred thirty-two million, one hundred eighty-nine thousand, four hundred forty".