14114421024000 has 1152 divisors, whose sum is σ = 52983870750720. Its totient is φ = 3299328000000.

The previous prime is 14114421023977. The next prime is 14114421024001. The reversal of 14114421024000 is 42012441141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114421024001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11752223400 + ... + 11752224600.

It is an arithmetic number, because the mean of its divisors is an integer number (45992943360).

Almost surely, 2^{14114421024000} is an apocalyptic number.

14114421024000 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 14114421024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26491935375360).

14114421024000 is an abundant number, since it is smaller than the sum of its proper divisors (38869449726720).

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

14114421024000 is a wasteful number, since it uses less digits than its factorization.

14114421024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14114421024000 its reverse (42012441141), we get a palindrome (14156433465141).

The spelling of 14114421024000 in words is "fourteen trillion, one hundred fourteen billion, four hundred twenty-one million, twenty-four thousand".