204004040240 has 480 divisors, whose sum is σ = 676432705536. Its totient is φ = 56138987520.

The previous prime is 204004040183. The next prime is 204004040243. The reversal of 204004040240 is 42040400402.

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

It is not an unprimeable number, because it can be changed into a prime (204004040243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12884969 + ... + 12900791.

Almost surely, 2^204004040240 is an apocalyptic number.

204004040240 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 204004040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338216352768).

204004040240 is an abundant number, since it is smaller than the sum of its proper divisors (472428665296).

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

204004040240 is a wasteful number, since it uses less digits than its factorization.

204004040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15897 (or 15884 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204004040240 its reverse (42040400402), we get a palindrome (246044440642).

The spelling of 204004040240 in words is "two hundred four billion, four million, forty thousand, two hundred forty".