395059881216 has 1152 divisors, whose sum is σ = 1480025014272. Its totient is φ = 90995097600.

The previous prime is 395059881121. The next prime is 395059881217. The reversal of 395059881216 is 612188950593.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395059881217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2883648700 + ... + 2883648836.

It is an arithmetic number, because the mean of its divisors is an integer number (1284743936).

Almost surely, 2^395059881216 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 395059881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740012507136).

395059881216 is an abundant number, since it is smaller than the sum of its proper divisors (1084965133056).

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

395059881216 is a wasteful number, since it uses less digits than its factorization.

395059881216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The spelling of 395059881216 in words is "three hundred ninety-five billion, fifty-nine million, eight hundred eighty-one thousand, two hundred sixteen".