420563614200 has 288 divisors, whose sum is σ = 1364813360640. Its totient is φ = 107020569600.

The previous prime is 420563614199. The next prime is 420563614201. The reversal of 420563614200 is 2416365024.

It is an interprime number because it is at equal distance from previous prime (420563614199) and next prime (420563614201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420563614201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99117279 + ... + 99121521.

It is an arithmetic number, because the mean of its divisors is an integer number (4738935280).

Almost surely, 2^420563614200 is an apocalyptic number.

420563614200 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 420563614200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682406680320).

420563614200 is an abundant number, since it is smaller than the sum of its proper divisors (944249746440).

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

420563614200 is a wasteful number, since it uses less digits than its factorization.

420563614200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 420563614200 its reverse (2416365024), we get a palindrome (422979979224).

The spelling of 420563614200 in words is "four hundred twenty billion, five hundred sixty-three million, six hundred fourteen thousand, two hundred".