14284542443040 has 576 divisors, whose sum is σ = 50985048022272. Its totient is φ = 3776672563200.

The previous prime is 14284542442991. The next prime is 14284542443063. The reversal of 14284542443040 is 4034424548241.

It is a happy number.

14284542443040 is a `hidden beast` number, since 1 + 4 + 28 + 4 + 542 + 4 + 43 + 0 + 40 = 666.

It is a super-2 number, since 2×14284542443040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2333691180 + ... + 2333697300.

It is an arithmetic number, because the mean of its divisors is an integer number (88515708372).

Almost surely, 2^{14284542443040} is an apocalyptic number.

14284542443040 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 14284542443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25492524011136).

14284542443040 is an abundant number, since it is smaller than the sum of its proper divisors (36700505579232).

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

14284542443040 is a wasteful number, since it uses less digits than its factorization.

14284542443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6655 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 45.

The spelling of 14284542443040 in words is "fourteen trillion, two hundred eighty-four billion, five hundred forty-two million, four hundred forty-three thousand, forty".