416420541761 has 16 divisors (see below), whose sum is σ = 505917029760. Its totient is φ = 334798012800.

The previous prime is 416420541749. The next prime is 416420541773. The reversal of 416420541761 is 167145024614.

It is an interprime number because it is at equal distance from previous prime (416420541749) and next prime (416420541773).

It is a cyclic number.

It is not a de Polignac number, because 416420541761 - 2³⁸ = 141542634817 is a prime.

It is a super-2 number, since 2×416420541761² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (416420571761) 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 15 ways as a sum of consecutive naturals, for example, 15486476 + ... + 15513341.

It is an arithmetic number, because the mean of its divisors is an integer number (31619814360).

Almost surely, 2^416420541761 is an apocalyptic number.

It is an amenable number.

416420541761 is a deficient number, since it is larger than the sum of its proper divisors (89496487999).

416420541761 is a wasteful number, since it uses less digits than its factorization.

416420541761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30999944.

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 416420541761 in words is "four hundred sixteen billion, four hundred twenty million, five hundred forty-one thousand, seven hundred sixty-one".