14214942720 has 1040 divisors, whose sum is σ = 59942393280. Its totient is φ = 3185049600.

The previous prime is 14214942713. The next prime is 14214942737. The reversal of 14214942720 is 2724941241.

It is a happy number.

14214942720 is a `hidden beast` number, since 14 + 214 + 9 + 427 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 346705900 + ... + 346705940.

Almost surely, 2^14214942720 is an apocalyptic number.

14214942720 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 14214942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29971196640).

14214942720 is an abundant number, since it is smaller than the sum of its proper divisors (45727450560).

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

14214942720 is a wasteful number, since it uses less digits than its factorization.

14214942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14214942720 in words is "fourteen billion, two hundred fourteen million, nine hundred forty-two thousand, seven hundred twenty".