43417640161 has 45 divisors (see below), whose sum is σ = 54188892981. Its totient is φ = 34685937216.

The previous prime is 43417640143. The next prime is 43417640177. The reversal of 43417640161 is 16104671434.

The square root of 43417640161 is 208369.

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

43417640161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13474798561 + 29942841600 = 116081^2 + 173040^2 .

It is not a de Polignac number, because 43417640161 - 2⁷ = 43417640033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 43417640161.

It is not an unprimeable number, because it can be changed into a prime (43417640111) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 421530436 + ... + 421530538.

Almost surely, 2^43417640161 is an apocalyptic number.

43417640161 is the 208369-th square number.

43417640161 is the 104185-th centered octagonal number.

It is an amenable number.

43417640161 is a deficient number, since it is larger than the sum of its proper divisors (10771252820).

43417640161 is an frugal number, since it uses more digits than its factorization.

43417640161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 43417640161 in words is "forty-three billion, four hundred seventeen million, six hundred forty thousand, one hundred sixty-one".