204061930611840 has 2304 divisors, whose sum is σ = 873964340496000. Its totient is φ = 44866048131072.

The previous prime is 204061930611823. The next prime is 204061930611859. The reversal of 204061930611840 is 48116039160402.

204061930611840 is a `hidden beast` number, since 2 + 0 + 406 + 1 + 9 + 3 + 0 + 61 + 184 + 0 = 666.

204061930611840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 362454583399 + ... + 362454583961.

Almost surely, 2^{204061930611840} is an apocalyptic number.

204061930611840 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 204061930611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436982170248000).

204061930611840 is an abundant number, since it is smaller than the sum of its proper divisors (669902409884160).

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

204061930611840 is a wasteful number, since it uses less digits than its factorization.

204061930611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 204061930611840 in words is "two hundred four trillion, sixty-one billion, nine hundred thirty million, six hundred eleven thousand, eight hundred forty".