204024505440 has 96 divisors (see below), whose sum is σ = 734488231680. Its totient is φ = 46634171904.

The previous prime is 204024505379. The next prime is 204024505441. The reversal of 204024505440 is 44505420402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 204024505398 and 204024505407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204024505441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30357430 + ... + 30364149.

It is an arithmetic number, because the mean of its divisors is an integer number (7650919080).

Almost surely, 2^204024505440 is an apocalyptic number.

204024505440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204024505440 is an abundant number, since it is smaller than the sum of its proper divisors (530463726240).

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

204024505440 is a wasteful number, since it uses less digits than its factorization.

204024505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60721604 (or 60721596 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 204024505440 its reverse (44505420402), we get a palindrome (248529925842).

The spelling of 204024505440 in words is "two hundred four billion, twenty-four million, five hundred five thousand, four hundred forty".