14040467840 has 192 divisors, whose sum is σ = 39338686800. Its totient is φ = 4777758720.

The previous prime is 14040467821. The next prime is 14040467843. The reversal of 14040467840 is 4876404041.

It is a junction number, because it is equal to n+sod(n) for n = 14040467794 and 14040467803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14040467843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4357430 + ... + 4360650.

Almost surely, 2^14040467840 is an apocalyptic number.

14040467840 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 14040467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669343400).

14040467840 is an abundant number, since it is smaller than the sum of its proper divisors (25298218960).

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

14040467840 is a wasteful number, since it uses less digits than its factorization.

14040467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 14040467840 in words is "fourteen billion, forty million, four hundred sixty-seven thousand, eight hundred forty".