14175424640 has 128 divisors (see below), whose sum is σ = 36635397120. Its totient is φ = 5213859840.

The previous prime is 14175424633. The next prime is 14175424643. The reversal of 14175424640 is 4642457141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14175424594 and 14175424603.

It is not an unprimeable number, because it can be changed into a prime (14175424643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251577 + ... + 2257863.

It is an arithmetic number, because the mean of its divisors is an integer number (286214040).

Almost surely, 2^14175424640 is an apocalyptic number.

14175424640 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 14175424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317698560).

14175424640 is an abundant number, since it is smaller than the sum of its proper divisors (22459972480).

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

14175424640 is a wasteful number, since it uses less digits than its factorization.

14175424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 14175424640 in words is "fourteen billion, one hundred seventy-five million, four hundred twenty-four thousand, six hundred forty".