14331000040 has 128 divisors (see below), whose sum is σ = 39097958400. Its totient is φ = 4618010880.

The previous prime is 14331000029. The next prime is 14331000083. The reversal of 14331000040 is 4000013341.

14331000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14330999978 and 14331000023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665035 + ... + 686245.

It is an arithmetic number, because the mean of its divisors is an integer number (305452800).

Almost surely, 2^14331000040 is an apocalyptic number.

14331000040 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 14331000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548979200).

14331000040 is an abundant number, since it is smaller than the sum of its proper divisors (24766958360).

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

14331000040 is a wasteful number, since it uses less digits than its factorization.

14331000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21375 (or 21371 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14331000040 its reverse (4000013341), we get a palindrome (18331013381).

The spelling of 14331000040 in words is "fourteen billion, three hundred thirty-one million, forty", and thus it is an aban number.