204865140480 has 1152 divisors, whose sum is σ = 886116188160. Its totient is φ = 38954926080.

The previous prime is 204865140449. The next prime is 204865140497. The reversal of 204865140480 is 84041568402.

204865140480 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 857176201 + ... + 857176439.

It is an arithmetic number, because the mean of its divisors is an integer number (769198080).

Almost surely, 2^204865140480 is an apocalyptic number.

204865140480 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 204865140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443058094080).

204865140480 is an abundant number, since it is smaller than the sum of its proper divisors (681251047680).

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

204865140480 is a wasteful number, since it uses less digits than its factorization.

204865140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 204865140480 in words is "two hundred four billion, eight hundred sixty-five million, one hundred forty thousand, four hundred eighty".