14289073920 has 1080 divisors, whose sum is σ = 60393552912. Its totient is φ = 3211591680.

The previous prime is 14289073901. The next prime is 14289073933. The reversal of 14289073920 is 2937098241.

14289073920 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 (1080).

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

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 119 ways as a sum of consecutive naturals, for example, 213269727 + ... + 213269793.

Almost surely, 2^14289073920 is an apocalyptic number.

14289073920 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 14289073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30196776456).

14289073920 is an abundant number, since it is smaller than the sum of its proper divisors (46104478992).

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

14289073920 is a wasteful number, since it uses less digits than its factorization.

14289073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14289073920 in words is "fourteen billion, two hundred eighty-nine million, seventy-three thousand, nine hundred twenty".