11211314240 has 112 divisors (see below), whose sum is σ = 30604992384. Its totient is φ = 3832012800.

The previous prime is 11211314221. The next prime is 11211314251. The reversal of 11211314240 is 4241311211.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733880 + ... + 749000.

Almost surely, 2^11211314240 is an apocalyptic number.

11211314240 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 11211314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15302496192).

11211314240 is an abundant number, since it is smaller than the sum of its proper divisors (19393678144).

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

11211314240 is a wasteful number, since it uses less digits than its factorization.

11211314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15476 (or 15466 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11211314240 its reverse (4241311211), we get a palindrome (15452625451).

The spelling of 11211314240 in words is "eleven billion, two hundred eleven million, three hundred fourteen thousand, two hundred forty".