327161120400 has 135 divisors (see below), whose sum is σ = 1135459074139. Its totient is φ = 87233813760.

The previous prime is 327161120393. The next prime is 327161120453. The reversal of 327161120400 is 4021161723.

The square root of 327161120400 is 571980.

It is a perfect power (a square), and thus also a powerful number.

327161120400 is a `hidden beast` number, since 3 + 2 + 7 + 1 + 611 + 2 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76328428176 + 250832692224 = 276276^2 + 500832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34314034 + ... + 34323566.

Almost surely, 2^327161120400 is an apocalyptic number.

327161120400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

327161120400 is the 571980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327161120400

327161120400 is an abundant number, since it is smaller than the sum of its proper divisors (808297953739).

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

327161120400 is an frugal number, since it uses more digits than its factorization.

327161120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19090 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

It can be divided in two parts, 327161 and 120400, that added together give a square (447561 = 669²).

The spelling of 327161120400 in words is "three hundred twenty-seven billion, one hundred sixty-one million, one hundred twenty thousand, four hundred".