14289440256 has 640 divisors, whose sum is σ = 53639900160. Its totient is φ = 3654844416.

The previous prime is 14289440233. The next prime is 14289440303. The reversal of 14289440256 is 65204498241.

It is a happy number.

It is a congruent number.

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, 46545255 + ... + 46545561.

It is an arithmetic number, because the mean of its divisors is an integer number (83812344).

Almost surely, 2^14289440256 is an apocalyptic number.

14289440256 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 14289440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26819950080).

14289440256 is an abundant number, since it is smaller than the sum of its proper divisors (39350459904).

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

14289440256 is a wasteful number, since it uses less digits than its factorization.

14289440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14289440256 in words is "fourteen billion, two hundred eighty-nine million, four hundred forty thousand, two hundred fifty-six".