206331382400 has 192 divisors, whose sum is σ = 598813236000. Its totient is φ = 69257932800.

The previous prime is 206331382393. The next prime is 206331382421. The reversal of 206331382400 is 4283133602.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232151 + ... + 683049.

Almost surely, 2^206331382400 is an apocalyptic number.

206331382400 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 206331382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299406618000).

206331382400 is an abundant number, since it is smaller than the sum of its proper divisors (392481853600).

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

206331382400 is a wasteful number, since it uses less digits than its factorization.

206331382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450947 (or 450930 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 206331382400 in words is "two hundred six billion, three hundred thirty-one million, three hundred eighty-two thousand, four hundred".