204414430032 has 160 divisors (see below), whose sum is σ = 606675456000. Its totient is φ = 65830942080.

The previous prime is 204414430013. The next prime is 204414430039. The reversal of 204414430032 is 230034414402.

It is a happy number.

204414430032 is a `hidden beast` number, since 204 + 414 + 43 + 0 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204414429978 and 204414430005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204414430039) 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 31 ways as a sum of consecutive naturals, for example, 8277319 + ... + 8301977.

It is an arithmetic number, because the mean of its divisors is an integer number (3791721600).

Almost surely, 2^204414430032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204414430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303337728000).

204414430032 is an abundant number, since it is smaller than the sum of its proper divisors (402261025968).

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

204414430032 is a wasteful number, since it uses less digits than its factorization.

204414430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25326 (or 25314 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 204414430032 its reverse (230034414402), we get a palindrome (434448844434).

The spelling of 204414430032 in words is "two hundred four billion, four hundred fourteen million, four hundred thirty thousand, thirty-two".