395165709120 has 448 divisors, whose sum is σ = 1562819328000. Its totient is φ = 82369585152.

The previous prime is 395165709089. The next prime is 395165709131. The reversal of 395165709120 is 21907561593.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 395165709120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7223631 + ... + 7278129.

It is an arithmetic number, because the mean of its divisors is an integer number (3488436000).

Almost surely, 2^395165709120 is an apocalyptic number.

395165709120 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 395165709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781409664000).

395165709120 is an abundant number, since it is smaller than the sum of its proper divisors (1167653618880).

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

395165709120 is a wasteful number, since it uses less digits than its factorization.

395165709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54622 (or 54612 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The spelling of 395165709120 in words is "three hundred ninety-five billion, one hundred sixty-five million, seven hundred nine thousand, one hundred twenty".