418744881025 has 81 divisors (see below), whose sum is σ = 578355979593. Its totient is φ = 300670867200.

The previous prime is 418744880987. The next prime is 418744881043. The reversal of 418744881025 is 520188447814.

It is a happy number.

The square root of 418744881025 is 647105.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9794862961 + 408950018064 = 98969^2 + 639492^2 .

It is not a de Polignac number, because 418744881025 - 2²⁷ = 418610663297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1265090110 + ... + 1265090440.

Almost surely, 2^418744881025 is an apocalyptic number.

418744881025 is the 647105-th square number.

418744881025 is the 323553-rd centered octagonal number.

It is an amenable number.

418744881025 is a deficient number, since it is larger than the sum of its proper divisors (159611098568).

418744881025 is an equidigital number, since it uses as much as digits as its factorization.

418744881025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 52.

The spelling of 418744881025 in words is "four hundred eighteen billion, seven hundred forty-four million, eight hundred eighty-one thousand, twenty-five".