395260163730432 has 6336 divisors, whose sum is σ = 1780934490316800. Its totient is φ = 81562750156800.

The previous prime is 395260163730431. The next prime is 395260163730461. The reversal of 395260163730432 is 234037361062593.

395260163730432 is a `hidden beast` number, since 3 + 9 + 5 + 260 + 1 + 6 + 373 + 0 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is not an unprimeable number, because it can be changed into a prime (395260163730431) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1016092965694 + ... + 1016092966082.

Almost surely, 2^{395260163730432} is an apocalyptic number.

395260163730432 is a gapful number since it is divisible by the number (32) 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 395260163730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890467245158400).

395260163730432 is an abundant number, since it is smaller than the sum of its proper divisors (1385674326586368).

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

395260163730432 is a wasteful number, since it uses less digits than its factorization.

395260163730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 395260163730432 in words is "three hundred ninety-five trillion, two hundred sixty billion, one hundred sixty-three million, seven hundred thirty thousand, four hundred thirty-two".