395995788144 has 240 divisors, whose sum is σ = 1259239403520. Its totient is φ = 119051856000.

The previous prime is 395995788131. The next prime is 395995788179. The reversal of 395995788144 is 441887599593.

395995788144 is a `hidden beast` number, since 3 + 9 + 5 + 9 + 9 + 578 + 8 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6608719 + ... + 6668369.

It is an arithmetic number, because the mean of its divisors is an integer number (5246830848).

Almost surely, 2^395995788144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395995788144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629619701760).

395995788144 is an abundant number, since it is smaller than the sum of its proper divisors (863243615376).

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

395995788144 is a wasteful number, since it uses less digits than its factorization.

395995788144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59817 (or 59794 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 395995788144 in words is "three hundred ninety-five billion, nine hundred ninety-five million, seven hundred eighty-eight thousand, one hundred forty-four".