11201201440 has 192 divisors, whose sum is σ = 31487823360. Its totient is φ = 3711651840.

The previous prime is 11201201413. The next prime is 11201201441. The reversal of 11201201440 is 4410210211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11201201441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1804422 + ... + 1810618.

It is an arithmetic number, because the mean of its divisors is an integer number (163999080).

Almost surely, 2^11201201440 is an apocalyptic number.

11201201440 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 11201201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743911680).

11201201440 is an abundant number, since it is smaller than the sum of its proper divisors (20286621920).

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

11201201440 is a wasteful number, since it uses less digits than its factorization.

11201201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11201201440 its reverse (4410210211), we get a palindrome (15611411651).

The spelling of 11201201440 in words is "eleven billion, two hundred one million, two hundred one thousand, four hundred forty".