395534327040 has 1728 divisors, whose sum is σ = 1645644349440. Its totient is φ = 90296156160.

The previous prime is 395534327033. The next prime is 395534327087. The reversal of 395534327040 is 40723435593.

395534327040 is a `hidden beast` number, since 3 + 9 + 5 + 534 + 3 + 2 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3114443457 + ... + 3114443583.

It is an arithmetic number, because the mean of its divisors is an integer number (952340480).

Almost surely, 2^395534327040 is an apocalyptic number.

395534327040 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 395534327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822822174720).

395534327040 is an abundant number, since it is smaller than the sum of its proper divisors (1250110022400).

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

395534327040 is a wasteful number, since it uses less digits than its factorization.

395534327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 395534327040 in words is "three hundred ninety-five billion, five hundred thirty-four million, three hundred twenty-seven thousand, forty".