416826475641 has 27 divisors (see below), whose sum is σ = 604913183823. Its totient is φ = 276584036400.

The previous prime is 416826475631. The next prime is 416826475711. The reversal of 416826475641 is 146574628614.

The square root of 416826475641 is 645621.

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

416826475641 is a `hidden beast` number, since 4 + 16 + 8 + 2 + 64 + 7 + 564 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 359485384041 + 57341091600 = 599571^2 + 239460^2 .

It is not a de Polignac number, because 416826475641 - 2²⁹ = 416289604729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416826475631) 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 26 ways as a sum of consecutive naturals, for example, 594616591 + ... + 594617291.

Almost surely, 2^416826475641 is an apocalyptic number.

416826475641 is the 645621-st square number.

416826475641 is the 322811-st centered octagonal number.

It is an amenable number.

416826475641 is a deficient number, since it is larger than the sum of its proper divisors (188086708182).

416826475641 is an frugal number, since it uses more digits than its factorization.

416826475641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1011 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 416826475641 in words is "four hundred sixteen billion, eight hundred twenty-six million, four hundred seventy-five thousand, six hundred forty-one".