204024044004000 has 384 divisors, whose sum is σ = 735170885938944. Its totient is φ = 49460370432000.

The previous prime is 204024044003981. The next prime is 204024044004007. The reversal of 204024044004000 is 400440420402.

It is a super-2 number, since 2×204024044004000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (204024044004007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9585072 + ... + 22358928.

It is an arithmetic number, because the mean of its divisors is an integer number (1914507515466).

Almost surely, 2^{204024044004000} is an apocalyptic number.

204024044004000 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 204024044004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367585442969472).

204024044004000 is an abundant number, since it is smaller than the sum of its proper divisors (531146841934944).

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

204024044004000 is a wasteful number, since it uses less digits than its factorization.

204024044004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12773918 (or 12773878 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 204024044004000 its reverse (400440420402), we get a palindrome (204424484424402).

The spelling of 204024044004000 in words is "two hundred four trillion, twenty-four billion, forty-four million, four thousand".