420412313124 has 96 divisors (see below), whose sum is σ = 1101008643840. Its totient is φ = 138719798784.

The previous prime is 420412313051. The next prime is 420412313141. The reversal of 420412313124 is 421313214024.

420412313124 is a `hidden beast` number, since 420 + 4 + 1 + 231 + 3 + 1 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 9704977 + ... + 9748199.

It is an arithmetic number, because the mean of its divisors is an integer number (11468840040).

Almost surely, 2^420412313124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420412313124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550504321920).

420412313124 is an abundant number, since it is smaller than the sum of its proper divisors (680596330716).

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

420412313124 is a wasteful number, since it uses less digits than its factorization.

420412313124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44146 (or 44138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 420412313124 its reverse (421313214024), we get a palindrome (841725527148).

The spelling of 420412313124 in words is "four hundred twenty billion, four hundred twelve million, three hundred thirteen thousand, one hundred twenty-four".