395112879120 has 40 divisors (see below), whose sum is σ = 1224849926016. Its totient is φ = 105363434368.

The previous prime is 395112879079. The next prime is 395112879149. The reversal of 395112879120 is 21978211593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×395112879120² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 395112879120.

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 7 ways as a sum of consecutive naturals, for example, 823151592 + ... + 823152071.

Almost surely, 2^395112879120 is an apocalyptic number.

395112879120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395112879120 is an abundant number, since it is smaller than the sum of its proper divisors (829737046896).

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

395112879120 is a wasteful number, since it uses less digits than its factorization.

395112879120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646303679 (or 1646303673 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 395112879120 in words is "three hundred ninety-five billion, one hundred twelve million, eight hundred seventy-nine thousand, one hundred twenty".