11414440316560 has 80 divisors (see below), whose sum is σ = 28377881168112. Its totient is φ = 4254654464000.

The previous prime is 11414440316537. The next prime is 11414440316563. The reversal of 11414440316560 is 6561304441411.

It can be written as a sum of positive squares in 8 ways, for example, as 255740581264 + 11158699735296 = 505708^2 + 3340464^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11414440316563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41412001 + ... + 41686720.

Almost surely, 2^{11414440316560} is an apocalyptic number.

11414440316560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414440316560 is an abundant number, since it is smaller than the sum of its proper divisors (16963440851552).

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

11414440316560 is a wasteful number, since it uses less digits than its factorization.

11414440316560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83098852 (or 83098846 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

Adding to 11414440316560 its reverse (6561304441411), we get a palindrome (17975744757971).

The spelling of 11414440316560 in words is "eleven trillion, four hundred fourteen billion, four hundred forty million, three hundred sixteen thousand, five hundred sixty".