200405382912 has 432 divisors, whose sum is σ = 706228915392. Its totient is φ = 53349580800.

The previous prime is 200405382797. The next prime is 200405382913. The reversal of 200405382912 is 219283504002.

It is a happy number.

200405382912 is a `hidden beast` number, since 200 + 405 + 38 + 2 + 9 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200405382913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27688158 + ... + 27695394.

It is an arithmetic number, because the mean of its divisors is an integer number (1634789156).

Almost surely, 2^200405382912 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 200405382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353114457696).

200405382912 is an abundant number, since it is smaller than the sum of its proper divisors (505823532480).

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

200405382912 is a wasteful number, since it uses less digits than its factorization.

200405382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 200405382912 its reverse (219283504002), we get a palindrome (419688886914).

The spelling of 200405382912 in words is "two hundred billion, four hundred five million, three hundred eighty-two thousand, nine hundred twelve".