14213422410000 has 400 divisors, whose sum is σ = 50075114683968. Its totient is φ = 3444224000000.

The previous prime is 14213422409959. The next prime is 14213422410023. The reversal of 14213422410000 is 1422431241.

It is a tau number, because it is divible by the number of its divisors (400).

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

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, 924322312 + ... + 924337688.

Almost surely, 2^{14213422410000} is an apocalyptic number.

14213422410000 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 14213422410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25037557341984).

14213422410000 is an abundant number, since it is smaller than the sum of its proper divisors (35861692273968).

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

14213422410000 is a wasteful number, since it uses less digits than its factorization.

14213422410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18220 (or 18199 counting only the distinct ones).

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

Adding to 14213422410000 its reverse (1422431241), we get a palindrome (14214844841241).

The spelling of 14213422410000 in words is "fourteen trillion, two hundred thirteen billion, four hundred twenty-two million, four hundred ten thousand".