11341440000 has 660 divisors, whose sum is σ = 44891692560. Its totient is φ = 2734080000.

The previous prime is 11341439999. The next prime is 11341440007. The reversal of 11341440000 is 4414311.

It is a tau number, because it is divible by the number of its divisors (660).

It is a super-2 number, since 2×11341440000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11341440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63359911 + ... + 63360089.

It is an arithmetic number, because the mean of its divisors is an integer number (68017716).

Almost surely, 2^11341440000 is an apocalyptic number.

11341440000 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 11341440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22445846280).

11341440000 is an abundant number, since it is smaller than the sum of its proper divisors (33550252560).

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

11341440000 is a wasteful number, since it uses less digits than its factorization.

11341440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 200 counting only the distinct ones).

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

Adding to 11341440000 its reverse (4414311), we get a palindrome (11345854311).

The spelling of 11341440000 in words is "eleven billion, three hundred forty-one million, four hundred forty thousand".