420414020414024 has 64 divisors (see below), whose sum is σ = 970207911469440. Its totient is φ = 166313912647680.

The previous prime is 420414020413999. The next prime is 420414020414029.

420414020414024 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (420414020414029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26206664 + ... + 39084744.

It is an arithmetic number, because the mean of its divisors is an integer number (15159498616710).

Almost surely, 2^{420414020414024} is an apocalyptic number.

It is an amenable number.

420414020414024 is an abundant number, since it is smaller than the sum of its proper divisors (549793891055416).

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

420414020414024 is a wasteful number, since it uses less digits than its factorization.

420414020414024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12922950 (or 12922946 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 420414020414024 in words is "four hundred twenty trillion, four hundred fourteen billion, twenty million, four hundred fourteen thousand, twenty-four".