14408680440 has 256 divisors, whose sum is σ = 54577152000. Its totient is φ = 2955962880.

The previous prime is 14408680423. The next prime is 14408680453. The reversal of 14408680440 is 4408680441.

It is a super-2 number, since 2×14408680440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720091 + ... + 739829.

It is an arithmetic number, because the mean of its divisors is an integer number (213192000).

Almost surely, 2^14408680440 is an apocalyptic number.

14408680440 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 14408680440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27288576000).

14408680440 is an abundant number, since it is smaller than the sum of its proper divisors (40168471560).

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

14408680440 is a wasteful number, since it uses less digits than its factorization.

14408680440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19850 (or 19846 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

Subtracting from 14408680440 its reverse (4408680441), we obtain a palindrome (9999999999).

The spelling of 14408680440 in words is "fourteen billion, four hundred eight million, six hundred eighty thousand, four hundred forty".