11209416240 has 320 divisors, whose sum is σ = 38854656000. Its totient is φ = 2650475520.

The previous prime is 11209416203. The next prime is 11209416247. The reversal of 11209416240 is 4261490211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11209416198 and 11209416207.

It is not an unprimeable number, because it can be changed into a prime (11209416247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22463511 + ... + 22464009.

It is an arithmetic number, because the mean of its divisors is an integer number (121420800).

Almost surely, 2^11209416240 is an apocalyptic number.

11209416240 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 11209416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19427328000).

11209416240 is an abundant number, since it is smaller than the sum of its proper divisors (27645239760).

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

11209416240 is a wasteful number, since it uses less digits than its factorization.

11209416240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 11209416240 in words is "eleven billion, two hundred nine million, four hundred sixteen thousand, two hundred forty".