415442531205 has 64 divisors (see below), whose sum is σ = 795613674240. Its totient is φ = 204464736000.

The previous prime is 415442531171. The next prime is 415442531237. The reversal of 415442531205 is 502135244514.

415442531205 is a `hidden beast` number, since 4 + 1 + 5 + 442 + 5 + 3 + 1 + 205 = 666.

415442531205 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 415442531205 - 2³² = 411147563909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 415442531205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6181030 + ... + 6247880.

It is an arithmetic number, because the mean of its divisors is an integer number (12431463660).

Almost surely, 2^415442531205 is an apocalyptic number.

415442531205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415442531205 is a deficient number, since it is larger than the sum of its proper divisors (380171143035).

415442531205 is a wasteful number, since it uses less digits than its factorization.

415442531205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70419 (or 70413 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 415442531205 its reverse (502135244514), we get a palindrome (917577775719).

The spelling of 415442531205 in words is "four hundred fifteen billion, four hundred forty-two million, five hundred thirty-one thousand, two hundred five".