271401405444 has 81 divisors (see below), whose sum is σ = 742985601813. Its totient is φ = 83495621664.

The previous prime is 271401405421. The next prime is 271401405449. The reversal of 271401405444 is 444504104172.

The square root of 271401405444 is 520962.

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

271401405444 is a `hidden beast` number, since 2 + 71 + 4 + 0 + 1 + 40 + 544 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40148136900 + 231253268544 = 200370^2 + 480888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 271401405399 and 271401405408.

It is not an unprimeable number, because it can be changed into a prime (271401405449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40631697 + ... + 40638375.

Almost surely, 2^271401405444 is an apocalyptic number.

271401405444 is the 520962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271401405444

271401405444 is an abundant number, since it is smaller than the sum of its proper divisors (471584196369).

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

271401405444 is an equidigital number, since it uses as much as digits as its factorization.

271401405444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13394 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Multiplying 271401405444 by its sum of digits (36), we get a square (9770450595984 = 3125772²).

271401405444 divided by its sum of digits (36) gives a square (7538927929 = 86827²).

The spelling of 271401405444 in words is "two hundred seventy-one billion, four hundred one million, four hundred five thousand, four hundred forty-four".