204432142440 has 64 divisors (see below), whose sum is σ = 633080194560. Its totient is φ = 52756680960.

The previous prime is 204432142433. The next prime is 204432142441. The reversal of 204432142440 is 44241234402.

204432142440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 204432142398 and 204432142407.

It is not an unprimeable number, because it can be changed into a prime (204432142441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27473719 + ... + 27481158.

It is an arithmetic number, because the mean of its divisors is an integer number (9891878040).

Almost surely, 2^204432142440 is an apocalyptic number.

204432142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204432142440 is an abundant number, since it is smaller than the sum of its proper divisors (428648052120).

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

204432142440 is a wasteful number, since it uses less digits than its factorization.

204432142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54954922 (or 54954918 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 204432142440 its reverse (44241234402), we get a palindrome (248673376842).

The spelling of 204432142440 in words is "two hundred four billion, four hundred thirty-two million, one hundred forty-two thousand, four hundred forty".