14640743120 has 80 divisors (see below), whose sum is σ = 34994940240. Its totient is φ = 5696441856.

The previous prime is 14640743099. The next prime is 14640743123. The reversal of 14640743120 is 2134704641.

It can be written as a sum of positive squares in 8 ways, for example, as 380562064 + 14260181056 = 19508^2 + 119416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14640743123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4050434 + ... + 4054046.

It is an arithmetic number, because the mean of its divisors is an integer number (437436753).

Almost surely, 2^14640743120 is an apocalyptic number.

14640743120 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 14640743120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17497470120).

14640743120 is an abundant number, since it is smaller than the sum of its proper divisors (20354197120).

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

14640743120 is an frugal number, since it uses more digits than its factorization.

14640743120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 14640743120 in words is "fourteen billion, six hundred forty million, seven hundred forty-three thousand, one hundred twenty".