14314430040 has 128 divisors (see below), whose sum is σ = 44403448320. Its totient is φ = 3689139200.

The previous prime is 14314430021. The next prime is 14314430087. The reversal of 14314430040 is 4003441341.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512845 + ... + 540035.

It is an arithmetic number, because the mean of its divisors is an integer number (346901940).

Almost surely, 2^14314430040 is an apocalyptic number.

14314430040 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 14314430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22201724160).

14314430040 is an abundant number, since it is smaller than the sum of its proper divisors (30089018280).

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

14314430040 is a wasteful number, since it uses less digits than its factorization.

14314430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27353 (or 27349 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14314430040 its reverse (4003441341), we get a palindrome (18317871381).

The spelling of 14314430040 in words is "fourteen billion, three hundred fourteen million, four hundred thirty thousand, forty".