11344042240000 has 240 divisors, whose sum is σ = 28374219733860. Its totient is φ = 4532797440000.

The previous prime is 11344042239989. The next prime is 11344042240033. The reversal of 11344042240000 is 4224044311.

It can be written as a sum of positive squares in 10 ways, for example, as 167483925504 + 11176558314496 = 409248^2 + 3343136^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1358075824 + ... + 1358084176.

Almost surely, 2^{11344042240000} is an apocalyptic number.

11344042240000 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 11344042240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14187109866930).

11344042240000 is an abundant number, since it is smaller than the sum of its proper divisors (17030177493860).

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

11344042240000 is an frugal number, since it uses more digits than its factorization.

11344042240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 11344042240000 its reverse (4224044311), we get a palindrome (11348266284311).

The spelling of 11344042240000 in words is "eleven trillion, three hundred forty-four billion, forty-two million, two hundred forty thousand".