420424202424024 has 96 divisors (see below), whose sum is σ = 1162515030786720. Its totient is φ = 137214887666688.

The previous prime is 420424202423963. The next prime is 420424202424067.

420424202424024 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 2 + 4 + 2 + 0 + 242 + 402 + 4 = 666.

420424202424024 is nontrivially palindromic in base 10.

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 420424202424024.

It is a congruent number.

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, 111256657 + ... + 114973440.

It is an arithmetic number, because the mean of its divisors is an integer number (12109531570695).

Almost surely, 2^{420424202424024} is an apocalyptic number.

It is an amenable number.

420424202424024 is an abundant number, since it is smaller than the sum of its proper divisors (742090828362696).

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

420424202424024 is a wasteful number, since it uses less digits than its factorization.

420424202424024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226230649 (or 226230642 counting only the distinct ones).

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

It can be divided in two parts, 42042420 and 2424024, that added together give a palindrome (44466444).

The spelling of 420424202424024 in words is "four hundred twenty trillion, four hundred twenty-four billion, two hundred two million, four hundred twenty-four thousand, twenty-four".