42633577441 has 27 divisors (see below), whose sum is σ = 53726231961. Its totient is φ = 33717194784.

The previous prime is 42633577361. The next prime is 42633577447. The reversal of 42633577441 is 14477533624.

It is a happy number.

The square root of 42633577441 is 206479.

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

42633577441 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 4 ways, for example, as 28922104225 + 13711473216 = 170065^2 + 117096^2 .

It is not a de Polignac number, because 42633577441 - 2⁹ = 42633576929 is a prime.

It is a super-3 number, since 3×42633577441³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42633577391 and 42633577400.

It is not an unprimeable number, because it can be changed into a prime (42633577447) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18788455 + ... + 18790723.

It is an arithmetic number, because the mean of its divisors is an integer number (1989860443).

Almost surely, 2^42633577441 is an apocalyptic number.

42633577441 is the 206479-th square number.

42633577441 is the 103240-th centered octagonal number.

It is an amenable number.

42633577441 is a deficient number, since it is larger than the sum of its proper divisors (11092654520).

42633577441 is an frugal number, since it uses more digits than its factorization.

42633577441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 2289 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 46.

The spelling of 42633577441 in words is "forty-two billion, six hundred thirty-three million, five hundred seventy-seven thousand, four hundred forty-one".