415403451441 has 24 divisors (see below), whose sum is σ = 654595422624. Its totient is φ = 251751864960.

The previous prime is 415403451413. The next prime is 415403451443. The reversal of 415403451441 is 144154304514.

415403451441 is a `hidden beast` number, since 41 + 540 + 34 + 5 + 1 + 4 + 41 = 666.

415403451441 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 415403451441 - 2¹³ = 415403443249 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 415403451396 and 415403451405.

It is not an unprimeable number, because it can be changed into a prime (415403451443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5842990 + ... + 5913656.

It is an arithmetic number, because the mean of its divisors is an integer number (27274809276).

Almost surely, 2^415403451441 is an apocalyptic number.

It is an amenable number.

415403451441 is a deficient number, since it is larger than the sum of its proper divisors (239191971183).

415403451441 is a wasteful number, since it uses less digits than its factorization.

415403451441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130061 (or 130058 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 415403451441 its reverse (144154304514), we get a palindrome (559557755955).

The spelling of 415403451441 in words is "four hundred fifteen billion, four hundred three million, four hundred fifty-one thousand, four hundred forty-one".