395720642961 has 72 divisors (see below), whose sum is σ = 688168525824. Its totient is φ = 218257441920.

The previous prime is 395720642953. The next prime is 395720642963. The reversal of 395720642961 is 169246027593.

395720642961 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 206 + 429 + 6 + 1 = 666.

It is not a de Polignac number, because 395720642961 - 2³ = 395720642953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 395720642898 and 395720642907.

It is not an unprimeable number, because it can be changed into a prime (395720642963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5198205 + ... + 5273781.

It is an arithmetic number, because the mean of its divisors is an integer number (9557896192).

Almost surely, 2^395720642961 is an apocalyptic number.

395720642961 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

395720642961 is a deficient number, since it is larger than the sum of its proper divisors (292447882863).

395720642961 is a wasteful number, since it uses less digits than its factorization.

395720642961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76011 (or 76001 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 395720642961 in words is "three hundred ninety-five billion, seven hundred twenty million, six hundred forty-two thousand, nine hundred sixty-one".