420412212304200 has 288 divisors, whose sum is σ = 1428177783974760. Its totient is φ = 110818967961600.

The previous prime is 420412212304141. The next prime is 420412212304229. The reversal of 420412212304200 is 2403212214024.

It is a happy number.

420412212304200 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 1 + 2 + 2 + 1 + 230 + 420 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 114404944644 + 420297807359556 = 338238^2 + 20501166^2 .

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, 141880182 + ... + 144813018.

Almost surely, 2^{420412212304200} is an apocalyptic number.

420412212304200 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 420412212304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714088891987380).

420412212304200 is an abundant number, since it is smaller than the sum of its proper divisors (1007765571670560).

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

420412212304200 is a wasteful number, since it uses less digits than its factorization.

420412212304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933777 (or 2933765 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 420412212304200 its reverse (2403212214024), we get a palindrome (422815424518224).

The spelling of 420412212304200 in words is "four hundred twenty trillion, four hundred twelve billion, two hundred twelve million, three hundred four thousand, two hundred".