395013448800000 has 648 divisors, whose sum is σ = 1447690027689360. Its totient is φ = 103551436800000.

The previous prime is 395013448799971. The next prime is 395013448800023. The reversal of 395013448800000 is 8844310593.

395013448800000 is a `hidden beast` number, since 39 + 5 + 0 + 134 + 488 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 424335060 + ... + 425264940.

Almost surely, 2^{395013448800000} is an apocalyptic number.

395013448800000 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 395013448800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723845013844680).

395013448800000 is an abundant number, since it is smaller than the sum of its proper divisors (1052676578889360).

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

395013448800000 is an frugal number, since it uses more digits than its factorization.

395013448800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929987 (or 929950 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 395013448800000 in words is "three hundred ninety-five trillion, thirteen billion, four hundred forty-eight million, eight hundred thousand".