14017448400 has 120 divisors (see below), whose sum is σ = 44956810080. Its totient is φ = 3733470720.

The previous prime is 14017448377. The next prime is 14017448407. The reversal of 14017448400 is 484471041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14017448407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1052986 + ... + 1066214.

It is an arithmetic number, because the mean of its divisors is an integer number (374640084).

Almost surely, 2^14017448400 is an apocalyptic number.

14017448400 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 14017448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22478405040).

14017448400 is an abundant number, since it is smaller than the sum of its proper divisors (30939361680).

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

14017448400 is a wasteful number, since it uses less digits than its factorization.

14017448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133 (or 14122 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 14017448400 in words is "fourteen billion, seventeen million, four hundred forty-eight thousand, four hundred".