420031204224 has 64 divisors (see below), whose sum is σ = 1116972330240. Its totient is φ = 139851726336.

The previous prime is 420031204213. The next prime is 420031204303. The reversal of 420031204224 is 422402130024.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 420031204194 and 420031204203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280312 + ... + 958455.

It is an arithmetic number, because the mean of its divisors is an integer number (17452692660).

Almost surely, 2^420031204224 is an apocalyptic number.

It is an amenable number.

420031204224 is an abundant number, since it is smaller than the sum of its proper divisors (696941126016).

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

420031204224 is a wasteful number, since it uses less digits than its factorization.

420031204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239667 (or 1239655 counting only the distinct ones).

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

Adding to 420031204224 its reverse (422402130024), we get a palindrome (842433334248).

The spelling of 420031204224 in words is "four hundred twenty billion, thirty-one million, two hundred four thousand, two hundred twenty-four".