14024142013200 has 120 divisors (see below), whose sum is σ = 49008001772256. Its totient is φ = 3399792000000.

The previous prime is 14024142013181. The next prime is 14024142013201. The reversal of 14024142013200 is 231024142041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14024142013201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531204301 + ... + 531230700.

Almost surely, 2^{14024142013200} is an apocalyptic number.

14024142013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14024142013200 is an abundant number, since it is smaller than the sum of its proper divisors (34983859759056).

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

14024142013200 is a wasteful number, since it uses less digits than its factorization.

14024142013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062435033 (or 1062435022 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14024142013200 its reverse (231024142041), we get a palindrome (14255166155241).

The spelling of 14024142013200 in words is "fourteen trillion, twenty-four billion, one hundred forty-two million, thirteen thousand, two hundred".