204153114240000 has 1980 divisors, whose sum is σ = 809677789935300. Its totient is φ = 49459888128000.

The previous prime is 204153114239939. The next prime is 204153114240007. The reversal of 204153114240000 is 42411351402.

204153114240000 is a `hidden beast` number, since 2 + 0 + 415 + 3 + 1 + 1 + 4 + 240 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 30 ways, for example, as 175247609324544 + 28905504915456 = 13238112^2 + 5376384^2 .

It is not an unprimeable number, because it can be changed into a prime (204153114240007) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 48274557886 + ... + 48274562114.

It is an arithmetic number, because the mean of its divisors is an integer number (408928176735).

Almost surely, 2^{204153114240000} is an apocalyptic number.

204153114240000 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 204153114240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404838894967650).

204153114240000 is an abundant number, since it is smaller than the sum of its proper divisors (605524675695300).

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

204153114240000 is a wasteful number, since it uses less digits than its factorization.

204153114240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 204153114240000 its reverse (42411351402), we get a palindrome (204195525591402).

The spelling of 204153114240000 in words is "two hundred four trillion, one hundred fifty-three billion, one hundred fourteen million, two hundred forty thousand".