801842001417 has 24 divisors (see below), whose sum is σ = 1175744506248. Its totient is φ = 526526208000.

The previous prime is 801842001383. The next prime is 801842001421. The reversal of 801842001417 is 714100248108.

801842001417 is a `hidden beast` number, since 80 + 18 + 420 + 0 + 141 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30929905161 + 770912096256 = 175869^2 + 878016^2 .

It is not a de Polignac number, because 801842001417 - 2¹¹ = 801841999369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (801842001437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2109834 + ... + 2460707.

It is an arithmetic number, because the mean of its divisors is an integer number (48989354427).

Almost surely, 2^801842001417 is an apocalyptic number.

It is an amenable number.

801842001417 is a deficient number, since it is larger than the sum of its proper divisors (373902504831).

801842001417 is a wasteful number, since it uses less digits than its factorization.

801842001417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570841 (or 4570838 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 801842001417 in words is "eight hundred one billion, eight hundred forty-two million, one thousand, four hundred seventeen".