11440314000 has 240 divisors, whose sum is σ = 40063261680. Its totient is φ = 3042662400.

The previous prime is 11440313977. The next prime is 11440314013. The reversal of 11440314000 is 41304411.

It can be written as a sum of positive squares in 8 ways, for example, as 8860080384 + 2580233616 = 94128^2 + 50796^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10241442 + ... + 10242558.

It is an arithmetic number, because the mean of its divisors is an integer number (166930257).

Almost surely, 2^11440314000 is an apocalyptic number.

11440314000 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 11440314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20031630840).

11440314000 is an abundant number, since it is smaller than the sum of its proper divisors (28622947680).

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

11440314000 is a wasteful number, since it uses less digits than its factorization.

11440314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11440314000 its reverse (41304411), we get a palindrome (11481618411).

The spelling of 11440314000 in words is "eleven billion, four hundred forty million, three hundred fourteen thousand".