395990919529920 has 7056 divisors, whose sum is σ = 1882782143313120. Its totient is φ = 78703849635840.

The previous prime is 395990919529811. The next prime is 395990919529949. The reversal of 395990919529920 is 29925919099593.

It is a happy number.

395990919529920 is a `hidden beast` number, since 3 + 9 + 59 + 9 + 0 + 9 + 19 + 529 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 395990919529920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 1540820698432 + ... + 1540820698688.

Almost surely, 2^{395990919529920} is an apocalyptic number.

395990919529920 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 395990919529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941391071656560).

395990919529920 is an abundant number, since it is smaller than the sum of its proper divisors (1486791223783200).

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

395990919529920 is a wasteful number, since it uses less digits than its factorization.

395990919529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1434890700, while the sum is 81.

The spelling of 395990919529920 in words is "three hundred ninety-five trillion, nine hundred ninety billion, nine hundred nineteen million, five hundred twenty-nine thousand, nine hundred twenty".