420402444204024 has 24 divisors (see below), whose sum is σ = 1138589953052760. Its totient is φ = 140134148067984.

The previous prime is 420402444204019. The next prime is 420402444204049.

420402444204024 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 0 + 2 + 444 + 204 + 0 + 2 + 4 = 666.

420402444204024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

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 420402444204024.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2919461418012 + ... + 2919461418155.

It is an arithmetic number, because the mean of its divisors is an integer number (47441248043865).

Almost surely, 2^{420402444204024} is an apocalyptic number.

It is an amenable number.

420402444204024 is an abundant number, since it is smaller than the sum of its proper divisors (718187508848736).

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

420402444204024 is a wasteful number, since it uses less digits than its factorization.

420402444204024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838922836179 (or 5838922836172 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

The spelling of 420402444204024 in words is "four hundred twenty trillion, four hundred two billion, four hundred forty-four million, two hundred four thousand, twenty-four".