204042412426320 has 1600 divisors, whose sum is σ = 811869002683200. Its totient is φ = 47129019678720.

The previous prime is 204042412426273. The next prime is 204042412426343. The reversal of 204042412426320 is 23624214240402.

It is a happy number.

204042412426320 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 2 + 4 + 12 + 4 + 2 + 632 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 179255038395456 + 24787374030864 = 13388616^2 + 4978692^2 .

It is a super-3 number, since 3×204042412426320³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 26943402054 + ... + 26943409626.

It is an arithmetic number, because the mean of its divisors is an integer number (507418126677).

Almost surely, 2^{204042412426320} is an apocalyptic number.

204042412426320 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 204042412426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405934501341600).

204042412426320 is an abundant number, since it is smaller than the sum of its proper divisors (607826590256880).

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

204042412426320 is a wasteful number, since it uses less digits than its factorization.

204042412426320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 7935 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 204042412426320 its reverse (23624214240402), we get a palindrome (227666626666722).

The spelling of 204042412426320 in words is "two hundred four trillion, forty-two billion, four hundred twelve million, four hundred twenty-six thousand, three hundred twenty".