242444224480 has 96 divisors (see below), whose sum is σ = 581171782464. Its totient is φ = 95558455296.

The previous prime is 242444224471. The next prime is 242444224481. The reversal of 242444224480 is 84422444242.

It is a happy number.

242444224480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242444224481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13037269 + ... + 13055851.

It is an arithmetic number, because the mean of its divisors is an integer number (6053872734).

Almost surely, 2^242444224480 is an apocalyptic number.

242444224480 is a gapful number since it is divisible by the number (20) 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 242444224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290585891232).

242444224480 is an abundant number, since it is smaller than the sum of its proper divisors (338727557984).

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

242444224480 is a wasteful number, since it uses less digits than its factorization.

242444224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19788 (or 19780 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

The spelling of 242444224480 in words is "two hundred forty-two billion, four hundred forty-four million, two hundred twenty-four thousand, four hundred eighty".