395412199880544 has 288 divisors, whose sum is σ = 1463538663619200. Its totient is φ = 102704467380480.

The previous prime is 395412199880513. The next prime is 395412199880549. The reversal of 395412199880544 is 445088991214593.

395412199880544 is a `hidden beast` number, since 3 + 9 + 5 + 412 + 1 + 9 + 98 + 80 + 5 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395412199880549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424073274 + ... + 425004665.

It is an arithmetic number, because the mean of its divisors is an integer number (5081731470900).

Almost surely, 2^{395412199880544} is an apocalyptic number.

It is an amenable number.

395412199880544 is an abundant number, since it is smaller than the sum of its proper divisors (1068126463738656).

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

395412199880544 is a wasteful number, since it uses less digits than its factorization.

395412199880544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849077983 (or 849077962 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 395412199880544 in words is "three hundred ninety-five trillion, four hundred twelve billion, one hundred ninety-nine million, eight hundred eighty thousand, five hundred forty-four".