204514164451040 has 192 divisors, whose sum is σ = 509026830258240. Its totient is φ = 77434249052160.

The previous prime is 204514164450989. The next prime is 204514164451057. The reversal of 204514164451040 is 40154461415402.

204514164451040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204514164451040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22894226414 + ... + 22894235346.

It is an arithmetic number, because the mean of its divisors is an integer number (2651181407595).

Almost surely, 2^{204514164451040} is an apocalyptic number.

204514164451040 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 204514164451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254513415129120).

204514164451040 is an abundant number, since it is smaller than the sum of its proper divisors (304512665807200).

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

204514164451040 is a wasteful number, since it uses less digits than its factorization.

204514164451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14525 (or 14517 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 41.

The spelling of 204514164451040 in words is "two hundred four trillion, five hundred fourteen billion, one hundred sixty-four million, four hundred fifty-one thousand, forty".