204234441132240 has 120 divisors (see below), whose sum is σ = 686879934200928. Its totient is φ = 54383700545280.

The previous prime is 204234441132223. The next prime is 204234441132251. The reversal of 204234441132240 is 42231144432402.

204234441132240 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 344 + 41 + 1 + 32 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204234441132195 and 204234441132204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204754974 + ... + 205750013.

Almost surely, 2^{204234441132240} is an apocalyptic number.

204234441132240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204234441132240 is an abundant number, since it is smaller than the sum of its proper divisors (482645493068688).

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

204234441132240 is a wasteful number, since it uses less digits than its factorization.

204234441132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410505697 (or 410505688 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 204234441132240 its reverse (42231144432402), we get a palindrome (246465585564642).

The spelling of 204234441132240 in words is "two hundred four trillion, two hundred thirty-four billion, four hundred forty-one million, one hundred thirty-two thousand, two hundred forty".