242742621542400 has 3456 divisors, whose sum is σ = 1100119587840000. Its totient is φ = 49896987033600.

The previous prime is 242742621542357. The next prime is 242742621542401. The reversal of 242742621542400 is 4245126247242.

242742621542400 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 4 + 2 + 6 + 215 + 424 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242742621542401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 108415640481 + ... + 108415642719.

It is an arithmetic number, because the mean of its divisors is an integer number (318321640000).

Almost surely, 2^{242742621542400} is an apocalyptic number.

242742621542400 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 242742621542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550059793920000).

242742621542400 is an abundant number, since it is smaller than the sum of its proper divisors (857376966297600).

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

242742621542400 is a wasteful number, since it uses less digits than its factorization.

242742621542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

Adding to 242742621542400 its reverse (4245126247242), we get a palindrome (246987747789642).

The spelling of 242742621542400 in words is "two hundred forty-two trillion, seven hundred forty-two billion, six hundred twenty-one million, five hundred forty-two thousand, four hundred".