895817402441 has 48 divisors (see below), whose sum is σ = 1035512029440. Its totient is φ = 772377016320.

The previous prime is 895817402437. The next prime is 895817402449. The reversal of 895817402441 is 144204718598.

It is not a de Polignac number, because 895817402441 - 2² = 895817402437 is a prime.

It is a super-2 number, since 2×895817402441² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (895817402449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84402251 + ... + 84412863.

It is an arithmetic number, because the mean of its divisors is an integer number (21573167280).

Almost surely, 2^895817402441 is an apocalyptic number.

It is an amenable number.

895817402441 is a deficient number, since it is larger than the sum of its proper divisors (139694626999).

895817402441 is a wasteful number, since it uses less digits than its factorization.

895817402441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 895817402441 in words is "eight hundred ninety-five billion, eight hundred seventeen million, four hundred two thousand, four hundred forty-one".