14018146028040 has 512 divisors, whose sum is σ = 53239887360000. Its totient is φ = 2867993948160.

The previous prime is 14018146027987. The next prime is 14018146028141. The reversal of 14018146028040 is 4082064181041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14018146028040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1701846802 + ... + 1701855038.

It is an arithmetic number, because the mean of its divisors is an integer number (103984155000).

Almost surely, 2^{14018146028040} is an apocalyptic number.

14018146028040 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 14018146028040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26619943680000).

14018146028040 is an abundant number, since it is smaller than the sum of its proper divisors (39221741331960).

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

14018146028040 is a wasteful number, since it uses less digits than its factorization.

14018146028040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11085 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 14018146028040 in words is "fourteen trillion, eighteen billion, one hundred forty-six million, twenty-eight thousand, forty".