395541286560 has 336 divisors, whose sum is σ = 1601213031936. Its totient is φ = 90409250304.

The previous prime is 395541286559. The next prime is 395541286583. The reversal of 395541286560 is 65682145593.

395541286560 is a `hidden beast` number, since 3 + 9 + 5 + 54 + 1 + 28 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 395541286497 and 395541286506.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 574257 + ... + 1058703.

It is an arithmetic number, because the mean of its divisors is an integer number (4765514976).

Almost surely, 2^395541286560 is an apocalyptic number.

395541286560 is a gapful number since it is divisible by the number (30) 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 395541286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800606515968).

395541286560 is an abundant number, since it is smaller than the sum of its proper divisors (1205671745376).

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

395541286560 is an equidigital number, since it uses as much as digits as its factorization.

395541286560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484487 (or 484464 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 395541286560 in words is "three hundred ninety-five billion, five hundred forty-one million, two hundred eighty-six thousand, five hundred sixty".