14478564240 has 320 divisors, whose sum is σ = 57802014720. Its totient is φ = 3262533120.

The previous prime is 14478564227. The next prime is 14478564251. The reversal of 14478564240 is 4246587441.

14478564240 is a `hidden beast` number, since 1 + 4 + 47 + 8 + 564 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066777 + ... + 1080263.

It is an arithmetic number, because the mean of its divisors is an integer number (180631296).

Almost surely, 2^14478564240 is an apocalyptic number.

14478564240 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 14478564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28901007360).

14478564240 is an abundant number, since it is smaller than the sum of its proper divisors (43323450480).

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

14478564240 is a wasteful number, since it uses less digits than its factorization.

14478564240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13587 (or 13575 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 14478564240 in words is "fourteen billion, four hundred seventy-eight million, five hundred sixty-four thousand, two hundred forty".