242505214400000 has 480 divisors, whose sum is σ = 618119568690624. Its totient is φ = 95019724800000.

The previous prime is 242505214399963. The next prime is 242505214400089. The reversal of 242505214400000 is 4412505242.

It is a super-2 number, since 2×242505214400000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17835193202 + ... + 17835206798.

Almost surely, 2^{242505214400000} is an apocalyptic number.

242505214400000 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 242505214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309059784345312).

242505214400000 is an abundant number, since it is smaller than the sum of its proper divisors (375614354290624).

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

242505214400000 is an frugal number, since it uses more digits than its factorization.

242505214400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13868 (or 13832 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 242505214400000 its reverse (4412505242), we get a palindrome (242509626905242).

The spelling of 242505214400000 in words is "two hundred forty-two trillion, five hundred five billion, two hundred fourteen million, four hundred thousand".