415455415461 has 48 divisors (see below), whose sum is σ = 626908941360. Its totient is φ = 264790794240.

The previous prime is 415455415429. The next prime is 415455415523. The reversal of 415455415461 is 164514554514.

It is a happy number.

415455415461 is a `hidden beast` number, since 4 + 1 + 5 + 45 + 541 + 5 + 4 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75717978561 + 339737436900 = 275169^2 + 582870^2 .

It is not a de Polignac number, because 415455415461 - 2⁵ = 415455415429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415455415961) 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 47 ways as a sum of consecutive naturals, for example, 32347401 + ... + 32360241.

It is an arithmetic number, because the mean of its divisors is an integer number (13060602945).

Almost surely, 2^415455415461 is an apocalyptic number.

It is an amenable number.

415455415461 is a deficient number, since it is larger than the sum of its proper divisors (211453525899).

415455415461 is a wasteful number, since it uses less digits than its factorization.

415455415461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086 (or 14083 counting only the distinct ones).

The product of its digits is 960000, while the sum is 45.

Adding to 415455415461 its reverse (164514554514), we get a palindrome (579969969975).

The spelling of 415455415461 in words is "four hundred fifteen billion, four hundred fifty-five million, four hundred fifteen thousand, four hundred sixty-one".