242353522400 has 216 divisors, whose sum is σ = 663380025336. Its totient is φ = 85742438400.

The previous prime is 242353522373. The next prime is 242353522421. The reversal of 242353522400 is 4225353242.

242353522400 is digitally balanced in base 3, 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12037142 + ... + 12057258.

It is an arithmetic number, because the mean of its divisors is an integer number (3071203821).

Almost surely, 2^242353522400 is an apocalyptic number.

242353522400 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 242353522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331690012668).

242353522400 is an abundant number, since it is smaller than the sum of its proper divisors (421026502936).

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

242353522400 is a wasteful number, since it uses less digits than its factorization.

242353522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20222 (or 20172 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 242353522400 its reverse (4225353242), we get a palindrome (246578875642).

The spelling of 242353522400 in words is "two hundred forty-two billion, three hundred fifty-three million, five hundred twenty-two thousand, four hundred".