14012310400000 has 264 divisors, whose sum is σ = 38194383496752. Its totient is φ = 5095372800000.

The previous prime is 14012310399953. The next prime is 14012310400027. The reversal of 14012310400000 is 401321041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35000962 + ... + 35399038.

Almost surely, 2^{14012310400000} is an apocalyptic number.

14012310400000 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 14012310400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19097191748376).

14012310400000 is an abundant number, since it is smaller than the sum of its proper divisors (24182073096752).

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

14012310400000 is an frugal number, since it uses more digits than its factorization.

14012310400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398133 (or 398095 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14012310400000 its reverse (401321041), we get a palindrome (14012711721041).

The spelling of 14012310400000 in words is "fourteen trillion, twelve billion, three hundred ten million, four hundred thousand".