14002003431312 has 160 divisors (see below), whose sum is σ = 40500053664000. Its totient is φ = 4138842064896.

The previous prime is 14002003431293. The next prime is 14002003431313. The reversal of 14002003431312 is 21313430020041.

It is a happy number.

It is a super-2 number, since 2×14002003431312² (a number of 27 digits) contains 22 as substring.

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 (14002003431313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1656978 + ... + 5545230.

It is an arithmetic number, because the mean of its divisors is an integer number (253125335400).

Almost surely, 2^{14002003431312} is an apocalyptic number.

14002003431312 is a gapful number since it is divisible by the number (12) 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 14002003431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20250026832000).

14002003431312 is an abundant number, since it is smaller than the sum of its proper divisors (26498050232688).

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

14002003431312 is a wasteful number, since it uses less digits than its factorization.

14002003431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888505 (or 3888499 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14002003431312 its reverse (21313430020041), we get a palindrome (35315433451353).

The spelling of 14002003431312 in words is "fourteen trillion, two billion, three million, four hundred thirty-one thousand, three hundred twelve".