14101334420000 has 240 divisors, whose sum is σ = 36743658890400. Its totient is φ = 5307062784000.

The previous prime is 14101334419967. The next prime is 14101334420003. The reversal of 14101334420000 is 2443310141.

It is not an unprimeable number, because it can be changed into a prime (14101334420003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1831576151 + ... + 1831583849.

It is an arithmetic number, because the mean of its divisors is an integer number (153098578710).

Almost surely, 2^{14101334420000} is an apocalyptic number.

14101334420000 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 14101334420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18371829445200).

14101334420000 is an abundant number, since it is smaller than the sum of its proper divisors (22642324470400).

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

14101334420000 is an equidigital number, since it uses as much as digits as its factorization.

14101334420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13133 (or 13110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14101334420000 its reverse (2443310141), we get a palindrome (14103777730141).

The spelling of 14101334420000 in words is "fourteen trillion, one hundred one billion, three hundred thirty-four million, four hundred twenty thousand".