420505264323210 has 512 divisors, whose sum is σ = 1192822781313024. Its totient is φ = 93811728384000.

The previous prime is 420505264323169. The next prime is 420505264323211. The reversal of 420505264323210 is 12323462505024.

It is not an unprimeable number, because it can be changed into a prime (420505264323211) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 119022150604 + ... + 119022154136.

It is an arithmetic number, because the mean of its divisors is an integer number (2329731994752).

Almost surely, 2^{420505264323210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420505264323210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596411390656512).

420505264323210 is an abundant number, since it is smaller than the sum of its proper divisors (772317516989814).

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

420505264323210 is a wasteful number, since it uses less digits than its factorization.

420505264323210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422.

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 420505264323210 in words is "four hundred twenty trillion, five hundred five billion, two hundred sixty-four million, three hundred twenty-three thousand, two hundred ten".