14004031440 has 320 divisors, whose sum is σ = 50882457600. Its totient is φ = 3184796160.

The previous prime is 14004031439. The next prime is 14004031441. The reversal of 14004031440 is 4413040041.

It is an interprime number because it is at equal distance from previous prime (14004031439) and next prime (14004031441).

It is a super-2 number, since 2×14004031440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004031441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25601247 + ... + 25601793.

It is an arithmetic number, because the mean of its divisors is an integer number (159007680).

Almost surely, 2^14004031440 is an apocalyptic number.

14004031440 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 14004031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25441228800).

14004031440 is an abundant number, since it is smaller than the sum of its proper divisors (36878426160).

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

14004031440 is a wasteful number, since it uses less digits than its factorization.

14004031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14004031440 its reverse (4413040041), we get a palindrome (18417071481).

The spelling of 14004031440 in words is "fourteen billion, four million, thirty-one thousand, four hundred forty".