395045906414208 has 384 divisors, whose sum is σ = 1252261018008000. Its totient is φ = 109961874505728.

The previous prime is 395045906414197. The next prime is 395045906414221. The reversal of 395045906414208 is 802414609540593.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×395045906414208² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314107648 + ... + 315362816.

Almost surely, 2^{395045906414208} 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 395045906414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626130509004000).

395045906414208 is an abundant number, since it is smaller than the sum of its proper divisors (857215111593792).

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

395045906414208 is a wasteful number, since it uses less digits than its factorization.

395045906414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255632 (or 1255613 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 395045906414208 in words is "three hundred ninety-five trillion, forty-five billion, nine hundred six million, four hundred fourteen thousand, two hundred eight".