14442101232400 has 120 divisors (see below), whose sum is σ = 34799678553024. Its totient is φ = 5759789683200.

The previous prime is 14442101232371. The next prime is 14442101232407. The reversal of 14442101232400 is 423210124441.

It is not an unprimeable number, because it can be changed into a prime (14442101232407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240243147 + ... + 240303253.

Almost surely, 2^{14442101232400} is an apocalyptic number.

14442101232400 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 14442101232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17399839276512).

14442101232400 is an abundant number, since it is smaller than the sum of its proper divisors (20357577320624).

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

14442101232400 is a wasteful number, since it uses less digits than its factorization.

14442101232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61889 (or 61878 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14442101232400 its reverse (423210124441), we get a palindrome (14865311356841).

The spelling of 14442101232400 in words is "fourteen trillion, four hundred forty-two billion, one hundred one million, two hundred thirty-two thousand, four hundred".