395205041925120 has 3168 divisors, whose sum is σ = 1699135379896320. Its totient is φ = 77605644533760.

The previous prime is 395205041925097. The next prime is 395205041925149. The reversal of 395205041925120 is 21529140502593.

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 395205041925120.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1725786209166 + ... + 1725786209394.

Almost surely, 2^{395205041925120} is an apocalyptic number.

395205041925120 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 395205041925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849567689948160).

395205041925120 is an abundant number, since it is smaller than the sum of its proper divisors (1303930337971200).

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

395205041925120 is a wasteful number, since it uses less digits than its factorization.

395205041925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 395205041925120 in words is "three hundred ninety-five trillion, two hundred five billion, forty-one million, nine hundred twenty-five thousand, one hundred twenty".