242403104000 has 144 divisors (see below), whose sum is σ = 604963129680. Its totient is φ = 96783564800.

The previous prime is 242403103933. The next prime is 242403104011. The reversal of 242403104000 is 401304242.

It can be written as a sum of positive squares in 8 ways, for example, as 140187341056 + 102215762944 = 374416^2 + 319712^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18201344 + ... + 18214656.

It is an arithmetic number, because the mean of its divisors is an integer number (4201132845).

Almost surely, 2^242403104000 is an apocalyptic number.

242403104000 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 242403104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302481564840).

242403104000 is an abundant number, since it is smaller than the sum of its proper divisors (362560025680).

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

242403104000 is an equidigital number, since it uses as much as digits as its factorization.

242403104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13913 (or 13889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 242403104000 its reverse (401304242), we get a palindrome (242804408242).

The spelling of 242403104000 in words is "two hundred forty-two billion, four hundred three million, one hundred four thousand".