405032124420 has 288 divisors, whose sum is σ = 1584578661120. Its totient is φ = 81260282880.

The previous prime is 405032124403. The next prime is 405032124421. The reversal of 405032124420 is 24421230504.

405032124420 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 3 + 212 + 442 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (405032124421) 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 95 ways as a sum of consecutive naturals, for example, 101907 + ... + 905786.

It is an arithmetic number, because the mean of its divisors is an integer number (5502009240).

Almost surely, 2^405032124420 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 405032124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792289330560).

405032124420 is an abundant number, since it is smaller than the sum of its proper divisors (1179546536700).

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

405032124420 is a wasteful number, since it uses less digits than its factorization.

405032124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007755 (or 1007750 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 405032124420 its reverse (24421230504), we get a palindrome (429453354924).

The spelling of 405032124420 in words is "four hundred five billion, thirty-two million, one hundred twenty-four thousand, four hundred twenty".