204042424240 has 80 divisors (see below), whose sum is σ = 499542714720. Its totient is φ = 77294131200.

The previous prime is 204042424199. The next prime is 204042424241. The reversal of 204042424240 is 42424240402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×204042424240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204042424199 and 204042424208.

It is not an unprimeable number, because it can be changed into a prime (204042424241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4594140 + ... + 4638340.

It is an arithmetic number, because the mean of its divisors is an integer number (6244283934).

Almost surely, 2^204042424240 is an apocalyptic number.

204042424240 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 204042424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249771357360).

204042424240 is an abundant number, since it is smaller than the sum of its proper divisors (295500290480).

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

204042424240 is a wasteful number, since it uses less digits than its factorization.

204042424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47270 (or 47264 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 204042424240 its reverse (42424240402), we get a palindrome (246466664642).

The spelling of 204042424240 in words is "two hundred four billion, forty-two million, four hundred twenty-four thousand, two hundred forty".