395501660928 has 432 divisors, whose sum is σ = 1361228208480. Its totient is φ = 112794992640.

The previous prime is 395501660881. The next prime is 395501660963. The reversal of 395501660928 is 829066105593.

It is a happy number.

395501660928 is a `hidden beast` number, since 3 + 9 + 5 + 5 + 0 + 1 + 6 + 609 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14204076 + ... + 14231892.

Almost surely, 2^395501660928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395501660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680614104240).

395501660928 is an abundant number, since it is smaller than the sum of its proper divisors (965726547552).

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

395501660928 is a wasteful number, since it uses less digits than its factorization.

395501660928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27881 (or 27850 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 395501660928 in words is "three hundred ninety-five billion, five hundred one million, six hundred sixty thousand, nine hundred twenty-eight".