14254134240 has 96 divisors (see below), whose sum is σ = 45198107136. Its totient is φ = 3775910400.

The previous prime is 14254134203. The next prime is 14254134269. The reversal of 14254134240 is 4243145241.

14254134240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×14254134240³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14254134198 and 14254134207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25852 + ... + 170811.

It is an arithmetic number, because the mean of its divisors is an integer number (470813616).

Almost surely, 2^14254134240 is an apocalyptic number.

14254134240 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 14254134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22599053568).

14254134240 is an abundant number, since it is smaller than the sum of its proper divisors (30943972896).

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

14254134240 is a wasteful number, since it uses less digits than its factorization.

14254134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196832 (or 196824 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14254134240 its reverse (4243145241), we get a palindrome (18497279481).

The spelling of 14254134240 in words is "fourteen billion, two hundred fifty-four million, one hundred thirty-four thousand, two hundred forty".