11200424340 has 96 divisors (see below), whose sum is σ = 35950086144. Its totient is φ = 2552330880.

The previous prime is 11200424311. The next prime is 11200424353. The reversal of 11200424340 is 4342400211.

11200424340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 98737 + ... + 179303.

It is an arithmetic number, because the mean of its divisors is an integer number (374480064).

Almost surely, 2^11200424340 is an apocalyptic number.

11200424340 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 11200424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975043072).

11200424340 is an abundant number, since it is smaller than the sum of its proper divisors (24749661804).

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

11200424340 is a wasteful number, since it uses less digits than its factorization.

11200424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80917 (or 80915 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11200424340 its reverse (4342400211), we get a palindrome (15542824551).

The spelling of 11200424340 in words is "eleven billion, two hundred million, four hundred twenty-four thousand, three hundred forty".