420314141413024 has 96 divisors (see below), whose sum is σ = 830922628536000. Its totient is φ = 209287775047680.

The previous prime is 420314141413021. The next prime is 420314141413039.

420314141413024 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (420314141413021) 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, 54593338327 + ... + 54593346025.

It is an arithmetic number, because the mean of its divisors is an integer number (8655444047250).

Almost surely, 2^{420314141413024} is an apocalyptic number.

It is an amenable number.

420314141413024 is a deficient number, since it is larger than the sum of its proper divisors (410608487122976).

420314141413024 is a wasteful number, since it uses less digits than its factorization.

420314141413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13326 (or 13318 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 420314141413024 in words is "four hundred twenty trillion, three hundred fourteen billion, one hundred forty-one million, four hundred thirteen thousand, twenty-four".