11352345244240 has 1280 divisors, whose sum is σ = 38122440007680. Its totient is φ = 3027071139840.

The previous prime is 11352345244231. The next prime is 11352345244241. The reversal of 11352345244240 is 4244254325311.

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 = 11352345244193 and 11352345244202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352345244241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19674774832 + ... + 19674775408.

It is an arithmetic number, because the mean of its divisors is an integer number (29783156256).

Almost surely, 2^{11352345244240} is an apocalyptic number.

11352345244240 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 11352345244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061220003840).

11352345244240 is an abundant number, since it is smaller than the sum of its proper divisors (26770094763440).

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

11352345244240 is a wasteful number, since it uses less digits than its factorization.

11352345244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

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

Adding to 11352345244240 its reverse (4244254325311), we get a palindrome (15596599569551).

The spelling of 11352345244240 in words is "eleven trillion, three hundred fifty-two billion, three hundred forty-five million, two hundred forty-four thousand, two hundred forty".