242032523543400 has 192 divisors, whose sum is σ = 751180836974400. Its totient is φ = 64466320988160.

The previous prime is 242032523543389. The next prime is 242032523543407. The reversal of 242032523543400 is 4345325230242.

It is not an unprimeable number, because it can be changed into a prime (242032523543407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7572255819 + ... + 7572287781.

It is an arithmetic number, because the mean of its divisors is an integer number (3912400192575).

Almost surely, 2^{242032523543400} is an apocalyptic number.

242032523543400 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 242032523543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375590418487200).

242032523543400 is an abundant number, since it is smaller than the sum of its proper divisors (509148313431000).

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

242032523543400 is a wasteful number, since it uses less digits than its factorization.

242032523543400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46388 (or 46379 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 39.

Adding to 242032523543400 its reverse (4345325230242), we get a palindrome (246377848773642).

The spelling of 242032523543400 in words is "two hundred forty-two trillion, thirty-two billion, five hundred twenty-three million, five hundred forty-three thousand, four hundred".