420400204120 has 128 divisors (see below), whose sum is σ = 1026428760000. Its totient is φ = 154043136000.

The previous prime is 420400204097. The next prime is 420400204129. The reversal of 420400204120 is 21402004024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420400204129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129312495 + ... + 129315745.

Almost surely, 2^420400204120 is an apocalyptic number.

420400204120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420400204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513214380000).

420400204120 is an abundant number, since it is smaller than the sum of its proper divisors (606028555880).

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

420400204120 is a wasteful number, since it uses less digits than its factorization.

420400204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 420400204120 its reverse (21402004024), we get a palindrome (441802208144).

The spelling of 420400204120 in words is "four hundred twenty billion, four hundred million, two hundred four thousand, one hundred twenty".