14242881024 has 160 divisors (see below), whose sum is σ = 42581515680. Its totient is φ = 4700620800.

The previous prime is 14242881001. The next prime is 14242881049. The reversal of 14242881024 is 42018824241.

It is a happy number.

The cubic root of 14242881024 is 2424.

It is a perfect power (a cube), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14242881024.

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 15 ways as a sum of consecutive naturals, for example, 141018574 + ... + 141018674.

It is an arithmetic number, because the mean of its divisors is an integer number (266134473).

Almost surely, 2^14242881024 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 14242881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21290757840).

14242881024 is an abundant number, since it is smaller than the sum of its proper divisors (28338634656).

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

14242881024 is an frugal number, since it uses more digits than its factorization.

14242881024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 14242881024 by its product of nonzero digits (32768), we get a cube (466710725394432 = 77568³).

The spelling of 14242881024 in words is "fourteen billion, two hundred forty-two million, eight hundred eighty-one thousand, twenty-four".