242423008960 has 112 divisors (see below), whose sum is σ = 631119136032. Its totient is φ = 87962009600.

The previous prime is 242423008913. The next prime is 242423008979. The reversal of 242423008960 is 69800324242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548024 + ... + 1697416.

It is an arithmetic number, because the mean of its divisors is an integer number (5634992286).

Almost surely, 2^242423008960 is an apocalyptic number.

242423008960 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 242423008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315559568016).

242423008960 is an abundant number, since it is smaller than the sum of its proper divisors (388696127072).

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

242423008960 is a wasteful number, since it uses less digits than its factorization.

242423008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149882 (or 149872 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 242423008960 in words is "two hundred forty-two billion, four hundred twenty-three million, eight thousand, nine hundred sixty".