11200303440 has 360 divisors, whose sum is σ = 39804874200. Its totient is φ = 2821238784.

The previous prime is 11200303397. The next prime is 11200303481. The reversal of 11200303440 is 4430300211.

It can be written as a sum of positive squares in 12 ways, for example, as 455737104 + 10744566336 = 21348^2 + 103656^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32092386 + ... + 32092734.

It is an arithmetic number, because the mean of its divisors is an integer number (110569095).

Almost surely, 2^11200303440 is an apocalyptic number.

11200303440 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 11200303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19902437100).

11200303440 is an abundant number, since it is smaller than the sum of its proper divisors (28604570760).

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

11200303440 is a wasteful number, since it uses less digits than its factorization.

11200303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11200303440 its reverse (4430300211), we get a palindrome (15630603651).

The spelling of 11200303440 in words is "eleven billion, two hundred million, three hundred three thousand, four hundred forty".