415205400020 has 48 divisors (see below), whose sum is σ = 923328918288. Its totient is φ = 156294420480.

The previous prime is 415205399971. The next prime is 415205400061. The reversal of 415205400020 is 20004502514.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10360796944 + 404844603076 = 101788^2 + 636274^2 .

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 15 ways as a sum of consecutive naturals, for example, 3055034 + ... + 3188046.

It is an arithmetic number, because the mean of its divisors is an integer number (19236019131).

Almost surely, 2^415205400020 is an apocalyptic number.

It is an amenable number.

415205400020 is an abundant number, since it is smaller than the sum of its proper divisors (508123518268).

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

415205400020 is a wasteful number, since it uses less digits than its factorization.

415205400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142220 (or 142218 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 415205400020 its reverse (20004502514), we get a palindrome (435209902534).

The spelling of 415205400020 in words is "four hundred fifteen billion, two hundred five million, four hundred thousand, twenty".