406100867200 has 576 divisors, whose sum is σ = 1205495109000. Its totient is φ = 134701056000.

The previous prime is 406100867171. The next prime is 406100867213. The reversal of 406100867200 is 2768001604.

It can be written as a sum of positive squares in 12 ways, for example, as 24779797056 + 381321070144 = 157416^2 + 617512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1163612626 + ... + 1163612974.

Almost surely, 2^406100867200 is an apocalyptic number.

406100867200 is a gapful number since it is divisible by the number (40) 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 406100867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602747554500).

406100867200 is an abundant number, since it is smaller than the sum of its proper divisors (799394241800).

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

406100867200 is a wasteful number, since it uses less digits than its factorization.

406100867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 406100867200 its reverse (2768001604), we get a palindrome (408868868804).

The spelling of 406100867200 in words is "four hundred six billion, one hundred million, eight hundred sixty-seven thousand, two hundred".