14213420144 has 320 divisors, whose sum is σ = 37677588480. Its totient is φ = 5031936000.

The previous prime is 14213420083. The next prime is 14213420161. The reversal of 14213420144 is 44102431241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45410132 + ... + 45410444.

It is an arithmetic number, because the mean of its divisors is an integer number (117742464).

Almost surely, 2^14213420144 is an apocalyptic number.

14213420144 is a gapful number since it is divisible by the number (14) 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 14213420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838794240).

14213420144 is an abundant number, since it is smaller than the sum of its proper divisors (23464168336).

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

14213420144 is a wasteful number, since it uses less digits than its factorization.

14213420144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

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

Adding to 14213420144 its reverse (44102431241), we get a palindrome (58315851385).

The spelling of 14213420144 in words is "fourteen billion, two hundred thirteen million, four hundred twenty thousand, one hundred forty-four".