4138477561 has 9 divisors (see below), whose sum is σ = 4327781871. Its totient is φ = 3957128472.

The previous prime is 4138477559. The next prime is 4138477583. The reversal of 4138477561 is 1657748314.

The square root of 4138477561 is 64331.

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

4138477561 is digitally balanced in base 3, 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 only one way, i.e., 3059749225 + 1078728336 = 55315^2 + 32844^2 .

It is not a de Polignac number, because 4138477561 - 2¹ = 4138477559 is a prime.

It is a super-3 number, since 3×4138477561³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4138477531) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1478215 + ... + 1481011.

Almost surely, 2^4138477561 is an apocalyptic number.

4138477561 is the 64331-st square number.

4138477561 is the 32166-th centered octagonal number.

It is an amenable number.

4138477561 is a deficient number, since it is larger than the sum of its proper divisors (189304310).

4138477561 is an frugal number, since it uses more digits than its factorization.

4138477561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 2820 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The cubic root of 4138477561 is about 1605.5119223125.

The spelling of 4138477561 in words is "four billion, one hundred thirty-eight million, four hundred seventy-seven thousand, five hundred sixty-one".