395661260800 has 288 divisors, whose sum is σ = 1064418591600. Its totient is φ = 144990535680.

The previous prime is 395661260789. The next prime is 395661260801. The reversal of 395661260800 is 8062166593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395661260801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91185031 + ... + 91189369.

Almost surely, 2^395661260800 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 395661260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532209295800).

395661260800 is an abundant number, since it is smaller than the sum of its proper divisors (668757330800).

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

395661260800 is a wasteful number, since it uses less digits than its factorization.

395661260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 395661260800 in words is "three hundred ninety-five billion, six hundred sixty-one million, two hundred sixty thousand, eight hundred".