204420132144432 has 480 divisors, whose sum is σ = 600746287901760. Its totient is φ = 64822766469120.

The previous prime is 204420132144377. The next prime is 204420132144497. The reversal of 204420132144432 is 234441231024402.

204420132144432 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 2 + 0 + 1 + 3 + 214 + 4 + 432 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96744027408 + ... + 96744029520.

It is an arithmetic number, because the mean of its divisors is an integer number (1251554766462).

Almost surely, 2^{204420132144432} 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 204420132144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300373143950880).

204420132144432 is an abundant number, since it is smaller than the sum of its proper divisors (396326155757328).

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

204420132144432 is a wasteful number, since it uses less digits than its factorization.

204420132144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3732 counting only the distinct ones).

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

Adding to 204420132144432 its reverse (234441231024402), we get a palindrome (438861363168834).

The spelling of 204420132144432 in words is "two hundred four trillion, four hundred twenty billion, one hundred thirty-two million, one hundred forty-four thousand, four hundred thirty-two".