395444063232 has 528 divisors, whose sum is σ = 1230250799232. Its totient is φ = 126778245120.

The previous prime is 395444063141. The next prime is 395444063233. The reversal of 395444063232 is 232360444593.

395444063232 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 4 + 4 + 0 + 632 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (395444063233) 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 47 ways as a sum of consecutive naturals, for example, 846775063 + ... + 846775529.

Almost surely, 2^395444063232 is an apocalyptic number.

395444063232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395444063232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615125399616).

395444063232 is an abundant number, since it is smaller than the sum of its proper divisors (834806736000).

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

395444063232 is an equidigital number, since it uses as much as digits as its factorization.

395444063232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 395444063232 in words is "three hundred ninety-five billion, four hundred forty-four million, sixty-three thousand, two hundred thirty-two".