11240214320 has 80 divisors (see below), whose sum is σ = 26504776800. Its totient is φ = 4432668672.

The previous prime is 11240214283. The next prime is 11240214341. The reversal of 11240214320 is 2341204211.

11240214320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11240214292 and 11240214301.

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 15 ways as a sum of consecutive naturals, for example, 1629599 + ... + 1636481.

It is an arithmetic number, because the mean of its divisors is an integer number (331309710).

Almost surely, 2^11240214320 is an apocalyptic number.

11240214320 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 11240214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13252388400).

11240214320 is an abundant number, since it is smaller than the sum of its proper divisors (15264562480).

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

11240214320 is a wasteful number, since it uses less digits than its factorization.

11240214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11240214320 its reverse (2341204211), we get a palindrome (13581418531).

The spelling of 11240214320 in words is "eleven billion, two hundred forty million, two hundred fourteen thousand, three hundred twenty".