820440041 has 4 divisors (see below), whose sum is σ = 825946500. Its totient is φ = 814933584.

The previous prime is 820440029. The next prime is 820440059. The reversal of 820440041 is 140044028.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 395214400 + 425225641 = 19880^2 + 20621^2 .

It is a cyclic number.

It is not a de Polignac number, because 820440041 - 2¹⁴ = 820423657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 820439989 and 820440016.

It is not an unprimeable number, because it can be changed into a prime (820440091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2753006 + ... + 2753303.

It is an arithmetic number, because the mean of its divisors is an integer number (206486625).

Almost surely, 2^820440041 is an apocalyptic number.

It is an amenable number.

820440041 is a deficient number, since it is larger than the sum of its proper divisors (5506459).

820440041 is a wasteful number, since it uses less digits than its factorization.

820440041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506458.

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 820440041 is about 28643.3245451711. The cubic root of 820440041 is about 936.1575608481.

Adding to 820440041 its reverse (140044028), we get a palindrome (960484069).

The spelling of 820440041 in words is "eight hundred twenty million, four hundred forty thousand, forty-one".