14314333440 has 288 divisors, whose sum is σ = 50346172800. Its totient is φ = 3437199360.

The previous prime is 14314333393. The next prime is 14314333441. The reversal of 14314333440 is 4433341341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14314333398 and 14314333407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314333441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4602606 + ... + 4605714.

It is an arithmetic number, because the mean of its divisors is an integer number (174813100).

Almost surely, 2^14314333440 is an apocalyptic number.

14314333440 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 14314333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25173086400).

14314333440 is an abundant number, since it is smaller than the sum of its proper divisors (36031839360).

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

14314333440 is a wasteful number, since it uses less digits than its factorization.

14314333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 14314333440 its reverse (4433341341), we get a palindrome (18747674781).

The spelling of 14314333440 in words is "fourteen billion, three hundred fourteen million, three hundred thirty-three thousand, four hundred forty".