204141212315040 has 1536 divisors, whose sum is σ = 866876542156800. Its totient is φ = 38998205153280.

The previous prime is 204141212315017. The next prime is 204141212315041. The reversal of 204141212315040 is 40513212141402.

It is a super-3 number, since 3×204141212315040³ (a number of 44 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 204141212314989 and 204141212315007.

It is not an unprimeable number, because it can be changed into a prime (204141212315041) 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 255 ways as a sum of consecutive naturals, for example, 222134071701 + ... + 222134072619.

It is an arithmetic number, because the mean of its divisors is an integer number (564372748800).

Almost surely, 2^{204141212315040} is an apocalyptic number.

204141212315040 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 204141212315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433438271078400).

204141212315040 is an abundant number, since it is smaller than the sum of its proper divisors (662735329841760).

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

204141212315040 is a wasteful number, since it uses less digits than its factorization.

204141212315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 204141212315040 its reverse (40513212141402), we get a palindrome (244654424456442).

The spelling of 204141212315040 in words is "two hundred four trillion, one hundred forty-one billion, two hundred twelve million, three hundred fifteen thousand, forty".