204234944640 has 128 divisors (see below), whose sum is σ = 655146342720. Its totient is φ = 54115676160.

The previous prime is 204234944569. The next prime is 204234944657. The reversal of 204234944640 is 46449432402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×204234944640² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204234944592 and 204234944601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37326 + ... + 640205.

Almost surely, 2^204234944640 is an apocalyptic number.

204234944640 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 204234944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327573171360).

204234944640 is an abundant number, since it is smaller than the sum of its proper divisors (450911398080).

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

204234944640 is a wasteful number, since it uses less digits than its factorization.

204234944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677710 (or 677698 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 204234944640 in words is "two hundred four billion, two hundred thirty-four million, nine hundred forty-four thousand, six hundred forty".