395419256064 has 648 divisors, whose sum is σ = 1422590641920. Its totient is φ = 108015925248.

The previous prime is 395419256053. The next prime is 395419256083. The reversal of 395419256064 is 460652914593.

395419256064 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 1 + 9 + 25 + 606 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 395419256064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179164849 + ... + 179167055.

Almost surely, 2^395419256064 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 395419256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711295320960).

395419256064 is an abundant number, since it is smaller than the sum of its proper divisors (1027171385856).

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

395419256064 is a wasteful number, since it uses less digits than its factorization.

395419256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 395419256064 in words is "three hundred ninety-five billion, four hundred nineteen million, two hundred fifty-six thousand, sixty-four".