405344055420 has 144 divisors (see below), whose sum is σ = 1258573155840. Its totient is φ = 105541446528.

The previous prime is 405344055419. The next prime is 405344055443. The reversal of 405344055420 is 24550443504.

405344055420 is a `hidden beast` number, since 40 + 5 + 3 + 4 + 40 + 554 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 27910921 + ... + 27925439.

It is an arithmetic number, because the mean of its divisors is an integer number (8740091360).

Almost surely, 2^405344055420 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 405344055420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629286577920).

405344055420 is an abundant number, since it is smaller than the sum of its proper divisors (853229100420).

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

405344055420 is a wasteful number, since it uses less digits than its factorization.

405344055420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18184 (or 18179 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 405344055420 its reverse (24550443504), we get a palindrome (429894498924).

The spelling of 405344055420 in words is "four hundred five billion, three hundred forty-four million, fifty-five thousand, four hundred twenty".