420431200224 has 144 divisors (see below), whose sum is σ = 1359335588688. Its totient is φ = 113057107968.

The previous prime is 420431200181. The next prime is 420431200249. The reversal of 420431200224 is 422002134024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 420431200194 and 420431200203.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2548779 + ... + 2708714.

It is an arithmetic number, because the mean of its divisors is an integer number (9439830477).

Almost surely, 2^420431200224 is an apocalyptic number.

It is an amenable number.

420431200224 is an abundant number, since it is smaller than the sum of its proper divisors (938904388464).

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

420431200224 is a wasteful number, since it uses less digits than its factorization.

420431200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257537 (or 5257522 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 420431200224 its reverse (422002134024), we get a palindrome (842433334248).

The spelling of 420431200224 in words is "four hundred twenty billion, four hundred thirty-one million, two hundred thousand, two hundred twenty-four".