14012310431000 has 320 divisors, whose sum is σ = 38553361966080. Its totient is φ = 4766288486400.

The previous prime is 14012310430991. The next prime is 14012310431029. The reversal of 14012310431000 is 13401321041.

It is a super-2 number, since 2×14012310431000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 304904024 + ... + 304949976.

It is an arithmetic number, because the mean of its divisors is an integer number (120479256144).

Almost surely, 2^{14012310431000} is an apocalyptic number.

14012310431000 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 14012310431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19276680983040).

14012310431000 is an abundant number, since it is smaller than the sum of its proper divisors (24541051535080).

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

14012310431000 is an equidigital number, since it uses as much as digits as its factorization.

14012310431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46129 (or 46094 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14012310431000 its reverse (13401321041), we get a palindrome (14025711752041).

The spelling of 14012310431000 in words is "fourteen trillion, twelve billion, three hundred ten million, four hundred thirty-one thousand".