420322505223024 has 60 divisors (see below), whose sum is σ = 1176321546961600. Its totient is φ = 140107226176512.

The previous prime is 420322505222887. The next prime is 420322505223041.

420322505223024 is a `hidden beast` number, since 4 + 2 + 0 + 32 + 2 + 50 + 522 + 30 + 24 = 666.

420322505223024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420322505223024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78599937 + ... + 83777055.

Almost surely, 2^{420322505223024} is an apocalyptic number.

It is an amenable number.

420322505223024 is an abundant number, since it is smaller than the sum of its proper divisors (755999041738576).

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

420322505223024 is a wasteful number, since it uses less digits than its factorization.

420322505223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740942 (or 5740933 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 42032250 and 5223024, that added together give a palindrome (47255274).

The spelling of 420322505223024 in words is "four hundred twenty trillion, three hundred twenty-two billion, five hundred five million, two hundred twenty-three thousand, twenty-four".