412320404200 has 96 divisors (see below), whose sum is σ = 990424465920. Its totient is φ = 159469920000.

The previous prime is 412320404189. The next prime is 412320404201. The reversal of 412320404200 is 2404023214.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (412320404201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7294045 + ... + 7350355.

It is an arithmetic number, because the mean of its divisors is an integer number (10316921520).

Almost surely, 2^412320404200 is an apocalyptic number.

412320404200 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 412320404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495212232960).

412320404200 is an abundant number, since it is smaller than the sum of its proper divisors (578104061720).

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

412320404200 is a wasteful number, since it uses less digits than its factorization.

412320404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57539 (or 57530 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 412320404200 its reverse (2404023214), we get a palindrome (414724427414).

The spelling of 412320404200 in words is "four hundred twelve billion, three hundred twenty million, four hundred four thousand, two hundred".