401416065 has 24 divisors (see below), whose sum is σ = 699335208. Its totient is φ = 212997120.

The previous prime is 401416061. The next prime is 401416069. The reversal of 401416065 is 560614104.

401416065 is a `hidden beast` number, since 40 + 14 + 1 + 606 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (401416061) and next prime (401416069).

It can be written as a sum of positive squares in 4 ways, for example, as 225270081 + 176145984 = 15009^2 + 13272^2 .

It is not a de Polignac number, because 401416065 - 2² = 401416061 is a prime.

It is a super-2 number, since 2×401416065² = 322269714480168450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401416061) 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 23 ways as a sum of consecutive naturals, for example, 13776 + ... + 31505.

It is an arithmetic number, because the mean of its divisors is an integer number (29138967).

Almost surely, 2^401416065 is an apocalyptic number.

401416065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401416065 is a deficient number, since it is larger than the sum of its proper divisors (297919143).

401416065 is a wasteful number, since it uses less digits than its factorization.

401416065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45489 (or 45486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 401416065 is about 20035.3703484612. The cubic root of 401416065 is about 737.6747470620.

The spelling of 401416065 in words is "four hundred one million, four hundred sixteen thousand, sixty-five".