14409534240 has 144 divisors (see below), whose sum is σ = 49846495608. Its totient is φ = 3789877248.

The previous prime is 14409534199. The next prime is 14409534263. The reversal of 14409534240 is 4243590441.

14409534240 is a `hidden beast` number, since 1 + 4 + 409 + 5 + 3 + 4 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7359580944 + 7049953296 = 85788^2 + 83964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14409534195 and 14409534204.

It is an unprimeable number.

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, 36582 + ... + 173658.

Almost surely, 2^14409534240 is an apocalyptic number.

14409534240 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 14409534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24923247804).

14409534240 is an abundant number, since it is smaller than the sum of its proper divisors (35436961368).

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

14409534240 is a wasteful number, since it uses less digits than its factorization.

14409534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137171 (or 137160 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14409534240 in words is "fourteen billion, four hundred nine million, five hundred thirty-four thousand, two hundred forty".