11239941440 has 336 divisors, whose sum is σ = 34071714432. Its totient is φ = 3499905024.

The previous prime is 11239941413. The next prime is 11239941443. The reversal of 11239941440 is 4414993211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11239941394 and 11239941403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11239941443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13656869 + ... + 13657691.

It is an arithmetic number, because the mean of its divisors is an integer number (101403912).

Almost surely, 2^11239941440 is an apocalyptic number.

11239941440 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 11239941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17035857216).

11239941440 is an abundant number, since it is smaller than the sum of its proper divisors (22831772992).

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

11239941440 is a wasteful number, since it uses less digits than its factorization.

11239941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 11239941440 in words is "eleven billion, two hundred thirty-nine million, nine hundred forty-one thousand, four hundred forty".