242240414430000 has 800 divisors, whose sum is σ = 925500740161536. Its totient is φ = 53429830272000.

The previous prime is 242240414429941. The next prime is 242240414430013. The reversal of 242240414430000 is 34414042242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 242240414430000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 749328397 + ... + 749651603.

Almost surely, 2^{242240414430000} is an apocalyptic number.

242240414430000 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 242240414430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462750370080768).

242240414430000 is an abundant number, since it is smaller than the sum of its proper divisors (683260325731536).

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

242240414430000 is a wasteful number, since it uses less digits than its factorization.

242240414430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323371 (or 323350 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 242240414430000 its reverse (34414042242), we get a palindrome (242274828472242).

The spelling of 242240414430000 in words is "two hundred forty-two trillion, two hundred forty billion, four hundred fourteen million, four hundred thirty thousand".