204514040201300 has 144 divisors (see below), whose sum is σ = 494660573447040. Its totient is φ = 72937122877440.

The previous prime is 204514040201291. The next prime is 204514040201321. The reversal of 204514040201300 is 3102040415402.

It is a self number, because there is not a number n which added to its sum of digits gives 204514040201300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605229992 + ... + 605567808.

It is an arithmetic number, because the mean of its divisors is an integer number (3435142871160).

Almost surely, 2^{204514040201300} is an apocalyptic number.

204514040201300 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 204514040201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247330286723520).

204514040201300 is an abundant number, since it is smaller than the sum of its proper divisors (290146533245740).

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

204514040201300 is a wasteful number, since it uses less digits than its factorization.

204514040201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356610 (or 356603 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 204514040201300 its reverse (3102040415402), we get a palindrome (207616080616702).

The spelling of 204514040201300 in words is "two hundred four trillion, five hundred fourteen billion, forty million, two hundred one thousand, three hundred".