812771217441 has 20 divisors (see below), whose sum is σ = 1214223639552. Its totient is φ = 541810026648.

The previous prime is 812771217409. The next prime is 812771217451. The reversal of 812771217441 is 144712177218.

812771217441 is a `hidden beast` number, since 8 + 12 + 77 + 121 + 7 + 441 = 666.

It is not a de Polignac number, because 812771217441 - 2⁵ = 812771217409 is a prime.

It is a super-3 number, since 3×812771217441³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (812771217451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 858040 + ... + 1536806.

Almost surely, 2^812771217441 is an apocalyptic number.

812771217441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

812771217441 is a deficient number, since it is larger than the sum of its proper divisors (401452422111).

812771217441 is a wasteful number, since it uses less digits than its factorization.

812771217441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693562 (or 693553 counting only the distinct ones).

The product of its digits is 175616, while the sum is 45.

The spelling of 812771217441 in words is "eight hundred twelve billion, seven hundred seventy-one million, two hundred seventeen thousand, four hundred forty-one".