14040960 has 128 divisors (see below), whose sum is σ = 45826560. Its totient is φ = 3655680.

The previous prime is 14040953. The next prime is 14040967. The reversal of 14040960 is 6904041.

14040960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14040953) and next prime (14040967).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14040960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14040967) 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, 136269 + ... + 136371.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 2^14040960 is an apocalyptic number.

14040960 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 14040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

14040960 is an abundant number, since it is smaller than the sum of its proper divisors (31785600).

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

14040960 is a wasteful number, since it uses less digits than its factorization.

14040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 14040960 is about 3747.1268993724. The cubic root of 14040960 is about 241.2490438184.

The spelling of 14040960 in words is "fourteen million, forty thousand, nine hundred sixty".