395339696640 has 960 divisors, whose sum is σ = 1632546938880. Its totient is φ = 86513909760.

The previous prime is 395339696623. The next prime is 395339696711. The reversal of 395339696640 is 46696933593.

395339696640 is a `hidden beast` number, since 3 + 9 + 533 + 9 + 6 + 96 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 534965391 + ... + 534966129.

It is an arithmetic number, because the mean of its divisors is an integer number (1700569728).

Almost surely, 2^395339696640 is an apocalyptic number.

395339696640 is a gapful number since it is divisible by the number (30) 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 395339696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816273469440).

395339696640 is an abundant number, since it is smaller than the sum of its proper divisors (1237207242240).

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

395339696640 is a wasteful number, since it uses less digits than its factorization.

395339696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 63.

The spelling of 395339696640 in words is "three hundred ninety-five billion, three hundred thirty-nine million, six hundred ninety-six thousand, six hundred forty".