204240413410320 has 320 divisors, whose sum is σ = 725420570112000. Its totient is φ = 46565835724800.

The previous prime is 204240413410307. The next prime is 204240413410337. The reversal of 204240413410320 is 23014314042402.

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

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 63 ways as a sum of consecutive naturals, for example, 1362336165 + ... + 1362486075.

It is an arithmetic number, because the mean of its divisors is an integer number (2266939281600).

Almost surely, 2^{204240413410320} is an apocalyptic number.

204240413410320 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 204240413410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362710285056000).

204240413410320 is an abundant number, since it is smaller than the sum of its proper divisors (521180156701680).

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

204240413410320 is a wasteful number, since it uses less digits than its factorization.

204240413410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151974 (or 151968 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 204240413410320 its reverse (23014314042402), we get a palindrome (227254727452722).

The spelling of 204240413410320 in words is "two hundred four trillion, two hundred forty billion, four hundred thirteen million, four hundred ten thousand, three hundred twenty".