395864641128 has 256 divisors, whose sum is σ = 1193875200000. Its totient is φ = 107970001920.

The previous prime is 395864641121. The next prime is 395864641163. The reversal of 395864641128 is 821146468593.

395864641128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×395864641128² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (395864641121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17178318 + ... + 17201346.

It is an arithmetic number, because the mean of its divisors is an integer number (4663575000).

Almost surely, 2^395864641128 is an apocalyptic number.

395864641128 is a gapful number since it is divisible by the number (38) 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 395864641128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596937600000).

395864641128 is an abundant number, since it is smaller than the sum of its proper divisors (798010558872).

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

395864641128 is a wasteful number, since it uses less digits than its factorization.

395864641128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23240 (or 23236 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 395864641128 in words is "three hundred ninety-five billion, eight hundred sixty-four million, six hundred forty-one thousand, one hundred twenty-eight".