395106066432 has 1680 divisors, whose sum is σ = 1603001843520. Its totient is φ = 94595973120.

The previous prime is 395106066379. The next prime is 395106066461. The reversal of 395106066432 is 234660601593.

395106066432 is a `hidden beast` number, since 3 + 9 + 5 + 1 + 0 + 606 + 6 + 4 + 32 = 666.

It is a super-2 number, since 2×395106066432² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10678542318 + ... + 10678542354.

It is an arithmetic number, because the mean of its divisors is an integer number (954167764).

Almost surely, 2^395106066432 is an apocalyptic number.

395106066432 is a gapful number since it is divisible by the number (32) 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 395106066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801500921760).

395106066432 is an abundant number, since it is smaller than the sum of its proper divisors (1207895777088).

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

395106066432 is a wasteful number, since it uses less digits than its factorization.

395106066432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 395106066432 in words is "three hundred ninety-five billion, one hundred six million, sixty-six thousand, four hundred thirty-two".