14042018138016 has 384 divisors, whose sum is σ = 41797374796800. Its totient is φ = 4091277312000.

The previous prime is 14042018137937. The next prime is 14042018138107. The reversal of 14042018138016 is 61083181024041.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680287056 + ... + 680307696.

It is an arithmetic number, because the mean of its divisors is an integer number (108847330200).

Almost surely, 2^{14042018138016} is an apocalyptic number.

14042018138016 is a gapful number since it is divisible by the number (16) 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 14042018138016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20898687398400).

14042018138016 is an abundant number, since it is smaller than the sum of its proper divisors (27755356658784).

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

14042018138016 is a wasteful number, since it uses less digits than its factorization.

14042018138016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20964 (or 20956 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 14042018138016 in words is "fourteen trillion, forty-two billion, eighteen million, one hundred thirty-eight thousand, sixteen".