420412343214024 has 96 divisors (see below), whose sum is σ = 1315897382592000. Its totient is φ = 118768173993216.

The previous prime is 420412343213971. The next prime is 420412343214077.

420412343214024 is a `hidden beast` number, since 4 + 2 + 0 + 41 + 23 + 432 + 140 + 24 = 666.

420412343214024 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (420412343213971) and next prime (420412343214077).

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 420412343214024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4686199384 + ... + 4686289095.

It is an arithmetic number, because the mean of its divisors is an integer number (13707264402000).

Almost surely, 2^{420412343214024} is an apocalyptic number.

It is an amenable number.

420412343214024 is an abundant number, since it is smaller than the sum of its proper divisors (895485039377976).

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

420412343214024 is a wasteful number, since it uses less digits than its factorization.

420412343214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372488587 (or 9372488580 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 420412343214024 in words is "four hundred twenty trillion, four hundred twelve billion, three hundred forty-three million, two hundred fourteen thousand, twenty-four".