418905378441 has 45 divisors (see below), whose sum is σ = 665963475645. Its totient is φ = 253739657160.

The previous prime is 418905378403. The next prime is 418905378491. The reversal of 418905378441 is 144873509814.

The square root of 418905378441 is 647229.

It is a perfect power (a square), and thus also a powerful number.

418905378441 is a `hidden beast` number, since 4 + 1 + 89 + 0 + 53 + 78 + 441 = 666.

It is not a de Polignac number, because 418905378441 - 2³¹ = 416757894793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (418905378401) 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 44 ways as a sum of consecutive naturals, for example, 234943236 + ... + 234945018.

Almost surely, 2^418905378441 is an apocalyptic number.

418905378441 is the 647229-th square number.

418905378441 is the 323615-th centered octagonal number.

It is an amenable number.

418905378441 is a deficient number, since it is larger than the sum of its proper divisors (247058097204).

418905378441 is an frugal number, since it uses more digits than its factorization.

418905378441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 418905378441 in words is "four hundred eighteen billion, nine hundred five million, three hundred seventy-eight thousand, four hundred forty-one".