14449417920 has 1008 divisors, whose sum is σ = 64640216160. Its totient is φ = 2935554048.

The previous prime is 14449417889. The next prime is 14449417921. The reversal of 14449417920 is 2971494441.

14449417920 is a `hidden beast` number, since 14 + 449 + 4 + 179 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (14449417921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45581602 + ... + 45581918.

Almost surely, 2^14449417920 is an apocalyptic number.

14449417920 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 14449417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32320108080).

14449417920 is an abundant number, since it is smaller than the sum of its proper divisors (50190798240).

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

14449417920 is a wasteful number, since it uses less digits than its factorization.

14449417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14449417920 in words is "fourteen billion, four hundred forty-nine million, four hundred seventeen thousand, nine hundred twenty".