395853247856640 has 1440 divisors, whose sum is σ = 1495246822453440. Its totient is φ = 89152850755584.

The previous prime is 395853247856611. The next prime is 395853247856657. The reversal of 395853247856640 is 46658742358593.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464071802454 + ... + 464071803306.

It is an arithmetic number, because the mean of its divisors is an integer number (1038365848926).

Almost surely, 2^{395853247856640} is an apocalyptic number.

395853247856640 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 395853247856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747623411226720).

395853247856640 is an abundant number, since it is smaller than the sum of its proper divisors (1099393574596800).

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

395853247856640 is an equidigital number, since it uses as much as digits as its factorization.

395853247856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 5225472000, while the sum is 75.

The spelling of 395853247856640 in words is "three hundred ninety-five trillion, eight hundred fifty-three billion, two hundred forty-seven million, eight hundred fifty-six thousand, six hundred forty".