14478858240 has 384 divisors, whose sum is σ = 57760335360. Its totient is φ = 3008102400.

The previous prime is 14478858223. The next prime is 14478858281. The reversal of 14478858240 is 4285887441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2362380 + ... + 2368500.

It is an arithmetic number, because the mean of its divisors is an integer number (150417540).

Almost surely, 2^14478858240 is an apocalyptic number.

14478858240 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 14478858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28880167680).

14478858240 is an abundant number, since it is smaller than the sum of its proper divisors (43281477120).

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

14478858240 is a wasteful number, since it uses less digits than its factorization.

14478858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 51.

The spelling of 14478858240 in words is "fourteen billion, four hundred seventy-eight million, eight hundred fifty-eight thousand, two hundred forty".