14001230144080 has 120 divisors (see below), whose sum is σ = 33064970972040. Its totient is φ = 5513731660800.

The previous prime is 14001230144047. The next prime is 14001230144081. The reversal of 14001230144080 is 8044103210041.

14001230144080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 96147125776 + 13905083018304 = 310076^2 + 3728952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001230144081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682676866 + ... + 682697374.

It is an arithmetic number, because the mean of its divisors is an integer number (275541424767).

Almost surely, 2^{14001230144080} is an apocalyptic number.

14001230144080 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 14001230144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532485486020).

14001230144080 is an abundant number, since it is smaller than the sum of its proper divisors (19063740827960).

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

14001230144080 is a wasteful number, since it uses less digits than its factorization.

14001230144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22557 (or 22484 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 14001230144080 in words is "fourteen trillion, one billion, two hundred thirty million, one hundred forty-four thousand, eighty".