14434254720 has 384 divisors, whose sum is σ = 51822201600. Its totient is φ = 3698196480.

The previous prime is 14434254707. The next prime is 14434254727. The reversal of 14434254720 is 2745243441.

14434254720 is a `hidden beast` number, since 14 + 43 + 42 + 547 + 20 = 666.

14434254720 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 (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434254727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 40890064 + ... + 40890416.

It is an arithmetic number, because the mean of its divisors is an integer number (134953650).

Almost surely, 2^14434254720 is an apocalyptic number.

14434254720 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 14434254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25911100800).

14434254720 is an abundant number, since it is smaller than the sum of its proper divisors (37387946880).

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

14434254720 is a wasteful number, since it uses less digits than its factorization.

14434254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 14434254720 in words is "fourteen billion, four hundred thirty-four million, two hundred fifty-four thousand, seven hundred twenty".