14408939424 has 288 divisors, whose sum is σ = 44435780928. Its totient is φ = 4070809600.

The previous prime is 14408939423. The next prime is 14408939431. The reversal of 14408939424 is 42493980441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14408939423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25868554 + ... + 25869110.

It is an arithmetic number, because the mean of its divisors is an integer number (154290906).

Almost surely, 2^14408939424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14408939424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217890464).

14408939424 is an abundant number, since it is smaller than the sum of its proper divisors (30026841504).

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

14408939424 is a wasteful number, since it uses less digits than its factorization.

14408939424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 14408939424 in words is "fourteen billion, four hundred eight million, nine hundred thirty-nine thousand, four hundred twenty-four".