14414160 has 160 divisors (see below), whose sum is σ = 49104000. Its totient is φ = 3483648.

The previous prime is 14414149. The next prime is 14414171. The reversal of 14414160 is 6141441.

It is an interprime number because it is at equal distance from previous prime (14414149) and next prime (14414171).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132186 + ... + 132294.

It is an arithmetic number, because the mean of its divisors is an integer number (306900).

Almost surely, 2^14414160 is an apocalyptic number.

14414160 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 14414160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552000).

14414160 is an abundant number, since it is smaller than the sum of its proper divisors (34689840).

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

14414160 is a wasteful number, since it uses less digits than its factorization.

14414160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 14414160 is about 3796.5984775849. The cubic root of 14414160 is about 243.3677981249.

The spelling of 14414160 in words is "fourteen million, four hundred fourteen thousand, one hundred sixty".