395964121005 has 64 divisors (see below), whose sum is σ = 745705900800. Its totient is φ = 198791573760.

The previous prime is 395964120973. The next prime is 395964121009. The reversal of 395964121005 is 500121469593.

395964121005 is a `hidden beast` number, since 3 + 9 + 596 + 41 + 2 + 10 + 0 + 5 = 666.

It is not a de Polignac number, because 395964121005 - 2⁵ = 395964120973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395964121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88926 + ... + 894335.

It is an arithmetic number, because the mean of its divisors is an integer number (11651654700).

Almost surely, 2^395964121005 is an apocalyptic number.

It is an amenable number.

395964121005 is a deficient number, since it is larger than the sum of its proper divisors (349741779795).

395964121005 is a wasteful number, since it uses less digits than its factorization.

395964121005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983451 (or 983445 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 395964121005 in words is "three hundred ninety-five billion, nine hundred sixty-four million, one hundred twenty-one thousand, five".