204033321214140 has 288 divisors, whose sum is σ = 662728508805888. Its totient is φ = 46505071616000.

The previous prime is 204033321214139. The next prime is 204033321214181. The reversal of 204033321214140 is 41412123330402.

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 = 204033321214098 and 204033321214107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184657720 + ... + 185759360.

It is an arithmetic number, because the mean of its divisors is an integer number (2301140655576).

Almost surely, 2^{204033321214140} is an apocalyptic number.

204033321214140 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 204033321214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331364254402944).

204033321214140 is an abundant number, since it is smaller than the sum of its proper divisors (458695187591748).

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

204033321214140 is a wasteful number, since it uses less digits than its factorization.

204033321214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102669 (or 1102650 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 204033321214140 its reverse (41412123330402), we get a palindrome (245445444544542).

The spelling of 204033321214140 in words is "two hundred four trillion, thirty-three billion, three hundred twenty-one million, two hundred fourteen thousand, one hundred forty".