11242523435440 has 160 divisors (see below), whose sum is σ = 30112451965440. Its totient is φ = 3860567193600.

The previous prime is 11242523435387. The next prime is 11242523435449. The reversal of 11242523435440 is 4453432524211.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11242523435393 and 11242523435402.

It is not an unprimeable number, because it can be changed into a prime (11242523435449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4118892 + ... + 6280948.

It is an arithmetic number, because the mean of its divisors is an integer number (188202824784).

Almost surely, 2^{11242523435440} is an apocalyptic number.

11242523435440 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 11242523435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15056225982720).

11242523435440 is an abundant number, since it is smaller than the sum of its proper divisors (18869928530000).

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

11242523435440 is a wasteful number, since it uses less digits than its factorization.

11242523435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162411 (or 2162405 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 11242523435440 its reverse (4453432524211), we get a palindrome (15695955959651).

The spelling of 11242523435440 in words is "eleven trillion, two hundred forty-two billion, five hundred twenty-three million, four hundred thirty-five thousand, four hundred forty".