420312300210 has 256 divisors, whose sum is σ = 1230534789120. Its totient is φ = 101245697280.

The previous prime is 420312300203. The next prime is 420312300257. The reversal of 420312300210 is 12003213024.

420312300210 is a `hidden beast` number, since 42 + 0 + 312 + 300 + 2 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 476004429 + ... + 476005311.

It is an arithmetic number, because the mean of its divisors is an integer number (4806776520).

Almost surely, 2^420312300210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420312300210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615267394560).

420312300210 is an abundant number, since it is smaller than the sum of its proper divisors (810222488910).

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

420312300210 is a wasteful number, since it uses less digits than its factorization.

420312300210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 420312300210 its reverse (12003213024), we get a palindrome (432315513234).

The spelling of 420312300210 in words is "four hundred twenty billion, three hundred twelve million, three hundred thousand, two hundred ten".