395641000000 has 441 divisors, whose sum is σ = 1071422281713. Its totient is φ = 144921600000.

The previous prime is 395640999997. The next prime is 395641000003. The reversal of 395641000000 is 146593.

The square root of 395641000000 is 629000.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (395640999997) and next prime (395641000003).

It can be written as a sum of positive squares in 31 ways, for example, as 317491679296 + 78149320704 = 563464^2 + 279552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395641000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 10692999982 + ... + 10693000018.

Almost surely, 2^395641000000 is an apocalyptic number.

395641000000 is the 629000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395641000000

395641000000 is an abundant number, since it is smaller than the sum of its proper divisors (675781281713).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395641000000 is an frugal number, since it uses more digits than its factorization.

395641000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 395641000000 its reverse (146593), we get a palindrome (395641146593).

The spelling of 395641000000 in words is "three hundred ninety-five billion, six hundred forty-one million", and thus it is an aban number.