420412202214024 has 64 divisors (see below), whose sum is σ = 1078837350972480. Its totient is φ = 136475313120000.

The previous prime is 420412202214019. The next prime is 420412202214061.

420412202214024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420412202213982 and 420412202214000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1421469982 + ... + 1421765709.

It is an arithmetic number, because the mean of its divisors is an integer number (16856833608945).

Almost surely, 2^{420412202214024} is an apocalyptic number.

It is an amenable number.

420412202214024 is an abundant number, since it is smaller than the sum of its proper divisors (658425148758456).

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

420412202214024 is a wasteful number, since it uses less digits than its factorization.

420412202214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843235862 (or 2843235858 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 42041220 and 2214024, that added together give a palindrome (44255244).

The spelling of 420412202214024 in words is "four hundred twenty trillion, four hundred twelve billion, two hundred two million, two hundred fourteen thousand, twenty-four".