14135441220400 has 60 divisors (see below), whose sum is σ = 35131445751600. Its totient is φ = 5459204880640.

The previous prime is 14135441220389. The next prime is 14135441220403. The reversal of 14135441220400 is 402214453141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14135441220403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609274660 + ... + 609297859.

It is an arithmetic number, because the mean of its divisors is an integer number (585524095860).

Almost surely, 2^{14135441220400} is an apocalyptic number.

14135441220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14135441220400 is an abundant number, since it is smaller than the sum of its proper divisors (20996004531200).

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

14135441220400 is a wasteful number, since it uses less digits than its factorization.

14135441220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218572566 (or 1218572555 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 14135441220400 its reverse (402214453141), we get a palindrome (14537655673541).

The spelling of 14135441220400 in words is "fourteen trillion, one hundred thirty-five billion, four hundred forty-one million, two hundred twenty thousand, four hundred".