204435114201240 has 256 divisors, whose sum is σ = 671240332425600. Its totient is φ = 49803694866432.

The previous prime is 204435114201223. The next prime is 204435114201347. The reversal of 204435114201240 is 42102411534402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21576004 + ... + 29570156.

Almost surely, 2^{204435114201240} is an apocalyptic number.

204435114201240 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 204435114201240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335620166212800).

204435114201240 is an abundant number, since it is smaller than the sum of its proper divisors (466805218224360).

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

204435114201240 is a wasteful number, since it uses less digits than its factorization.

204435114201240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994303 (or 7994273 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 204435114201240 its reverse (42102411534402), we get a palindrome (246537525735642).

The spelling of 204435114201240 in words is "two hundred four trillion, four hundred thirty-five billion, one hundred fourteen million, two hundred one thousand, two hundred forty".