14021340424000 has 896 divisors, whose sum is σ = 45057699348480. Its totient is φ = 4202689536000.

The previous prime is 14021340423983. The next prime is 14021340424067. The reversal of 14021340424000 is 42404312041.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1060689391 + ... + 1060702609.

It is an arithmetic number, because the mean of its divisors is an integer number (50287610880).

Almost surely, 2^{14021340424000} is an apocalyptic number.

14021340424000 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 14021340424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22528849674240).

14021340424000 is an abundant number, since it is smaller than the sum of its proper divisors (31036358924480).

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

14021340424000 is a wasteful number, since it uses less digits than its factorization.

14021340424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344 (or 13324 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14021340424000 its reverse (42404312041), we get a palindrome (14063744736041).

The spelling of 14021340424000 in words is "fourteen trillion, twenty-one billion, three hundred forty million, four hundred twenty-four thousand".