420310210410420 has 192 divisors, whose sum is σ = 1287708141404160. Its totient is φ = 101588119142400.

The previous prime is 420310210410413. The next prime is 420310210410427. The reversal of 420310210410420 is 24014012013024.

It is an interprime number because it is at equal distance from previous prime (420310210410413) and next prime (420310210410427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420310210410427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328353396 + ... + 329630964.

It is an arithmetic number, because the mean of its divisors is an integer number (6706813236480).

Almost surely, 2^{420310210410420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420310210410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643854070702080).

420310210410420 is an abundant number, since it is smaller than the sum of its proper divisors (867397930993740).

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

420310210410420 is a wasteful number, since it uses less digits than its factorization.

420310210410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279086 (or 1279084 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 420310210410420 its reverse (24014012013024), we get a palindrome (444324222423444).

The spelling of 420310210410420 in words is "four hundred twenty trillion, three hundred ten billion, two hundred ten million, four hundred ten thousand, four hundred twenty".