14212431440000 has 160 divisors (see below), whose sum is σ = 35411875619340. Its totient is φ = 5680005120000.

The previous prime is 14212431439979. The next prime is 14212431440033. The reversal of 14212431440000 is 4413421241.

It can be written as a sum of positive squares in 10 ways, for example, as 18646448704 + 14193784991296 = 136552^2 + 3767464^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92162960 + ... + 92317040.

Almost surely, 2^{14212431440000} is an apocalyptic number.

14212431440000 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 14212431440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17705937809670).

14212431440000 is an abundant number, since it is smaller than the sum of its proper divisors (21199444179340).

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

14212431440000 is an equidigital number, since it uses as much as digits as its factorization.

14212431440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155268 (or 155241 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14212431440000 its reverse (4413421241), we get a palindrome (14216844861241).

The spelling of 14212431440000 in words is "fourteen trillion, two hundred twelve billion, four hundred thirty-one million, four hundred forty thousand".