395041476375 has 384 divisors, whose sum is σ = 911887441920. Its totient is φ = 160030080000.

The previous prime is 395041476341. The next prime is 395041476409. The reversal of 395041476375 is 573674140593.

395041476375 is a `hidden beast` number, since 3 + 9 + 504 + 1 + 4 + 7 + 63 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (395041476341) and next prime (395041476409).

It is not a de Polignac number, because 395041476375 - 2¹⁰ = 395041475351 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 804564880 + ... + 804565370.

It is an arithmetic number, because the mean of its divisors is an integer number (2374706880).

Almost surely, 2^395041476375 is an apocalyptic number.

395041476375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

395041476375 is an abundant number, since it is smaller than the sum of its proper divisors (516845965545).

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

395041476375 is a wasteful number, since it uses less digits than its factorization.

395041476375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 395041476375 in words is "three hundred ninety-five billion, forty-one million, four hundred seventy-six thousand, three hundred seventy-five".