14241000384 has 336 divisors, whose sum is σ = 46597824000. Its totient is φ = 4122150912.

The previous prime is 14241000383. The next prime is 14241000427. The reversal of 14241000384 is 48300014241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241000383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28311877 + ... + 28312379.

It is an arithmetic number, because the mean of its divisors is an integer number (138684000).

Almost surely, 2^14241000384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912000).

14241000384 is an abundant number, since it is smaller than the sum of its proper divisors (32356823616).

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

14241000384 is a wasteful number, since it uses less digits than its factorization.

14241000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14241000384 in words is "fourteen billion, two hundred forty-one million, three hundred eighty-four", and thus it is an aban number.