242401320144 has 160 divisors (see below), whose sum is σ = 718564961280. Its totient is φ = 78157094400.

The previous prime is 242401320097. The next prime is 242401320149. The reversal of 242401320144 is 441023104242.

242401320144 is a `hidden beast` number, since 242 + 401 + 3 + 2 + 0 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242401320149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52454154 + ... + 52458774.

It is an arithmetic number, because the mean of its divisors is an integer number (4491031008).

Almost surely, 2^242401320144 is an apocalyptic number.

242401320144 is a gapful number since it is divisible by the number (24) 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 242401320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359282480640).

242401320144 is an abundant number, since it is smaller than the sum of its proper divisors (476163641136).

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

242401320144 is a wasteful number, since it uses less digits than its factorization.

242401320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8586 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242401320144 its reverse (441023104242), we get a palindrome (683424424386).

The spelling of 242401320144 in words is "two hundred forty-two billion, four hundred one million, three hundred twenty thousand, one hundred forty-four".