11223732240 has 360 divisors, whose sum is σ = 44413050240. Its totient is φ = 2532321792.

The previous prime is 11223732137. The next prime is 11223732241. The reversal of 11223732240 is 4223732211.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (11223732241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2785107 + ... + 2789133.

It is an arithmetic number, because the mean of its divisors is an integer number (123369584).

Almost surely, 2^11223732240 is an apocalyptic number.

11223732240 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 11223732240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206525120).

11223732240 is an abundant number, since it is smaller than the sum of its proper divisors (33189318000).

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

11223732240 is a wasteful number, since it uses less digits than its factorization.

11223732240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 11223732240 in words is "eleven billion, two hundred twenty-three million, seven hundred thirty-two thousand, two hundred forty".