14400150242200 has 96 divisors (see below), whose sum is σ = 33583816123200. Its totient is φ = 5742270858240.

The previous prime is 14400150242183. The next prime is 14400150242201. The reversal of 14400150242200 is 224205100441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400150242201) 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, 209669466 + ... + 209738134.

It is an arithmetic number, because the mean of its divisors is an integer number (349831417950).

Almost surely, 2^{14400150242200} is an apocalyptic number.

14400150242200 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 14400150242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16791908061600).

14400150242200 is an abundant number, since it is smaller than the sum of its proper divisors (19183665881000).

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

14400150242200 is a wasteful number, since it uses less digits than its factorization.

14400150242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71909 (or 71900 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 14400150242200 its reverse (224205100441), we get a palindrome (14624355342641).

The spelling of 14400150242200 in words is "fourteen trillion, four hundred billion, one hundred fifty million, two hundred forty-two thousand, two hundred".