14001280 has 64 divisors (see below), whose sum is σ = 33929280. Its totient is φ = 5524480.

The previous prime is 14001257. The next prime is 14001283. The reversal of 14001280 is 8210041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83757 + ... + 83923.

It is an arithmetic number, because the mean of its divisors is an integer number (530145).

Almost surely, 2^14001280 is an apocalyptic number.

14001280 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 14001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964640).

14001280 is an abundant number, since it is smaller than the sum of its proper divisors (19928000).

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

14001280 is a wasteful number, since it uses less digits than its factorization.

14001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 14001280 is about 3741.8284300593. The cubic root of 14001280 is about 241.0215713892.

The spelling of 14001280 in words is "fourteen million, one thousand, two hundred eighty".