200104432000 has 256 divisors, whose sum is σ = 548160125760. Its totient is φ = 72038400000.

The previous prime is 200104431991. The next prime is 200104432001. The reversal of 200104432000 is 234401002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200104432001) 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, 17770372 + ... + 17781628.

Almost surely, 2^200104432000 is an apocalyptic number.

200104432000 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 200104432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274080062880).

200104432000 is an abundant number, since it is smaller than the sum of its proper divisors (348055693760).

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

200104432000 is a wasteful number, since it uses less digits than its factorization.

200104432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11398 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 200104432000 its reverse (234401002), we get a palindrome (200338833002).

The spelling of 200104432000 in words is "two hundred billion, one hundred four million, four hundred thirty-two thousand".