420322222223024 has 160 divisors (see below), whose sum is σ = 943950756284928. Its totient is φ = 180939376992000.

The previous prime is 420322222223003. The next prime is 420322222223039.

It is a happy number.

420322222223024 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45222407 + ... + 53718809.

Almost surely, 2^{420322222223024} is an apocalyptic number.

420322222223024 is a gapful number since it is divisible by the number (44) 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 420322222223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471975378142464).

420322222223024 is an abundant number, since it is smaller than the sum of its proper divisors (523628534061904).

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

420322222223024 is a wasteful number, since it uses less digits than its factorization.

420322222223024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496568 (or 8496540 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

The spelling of 420322222223024 in words is "four hundred twenty trillion, three hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, twenty-four".