1395227725344 has 144 divisors (see below), whose sum is σ = 4177038247200. Its totient is φ = 440541877248.

The previous prime is 1395227725343. The next prime is 1395227725379. The reversal of 1395227725344 is 4435277225931.

1395227725344 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 2 + 277 + 25 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1395227725343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71142612 + ... + 71162220.

It is an arithmetic number, because the mean of its divisors is an integer number (29007210050).

Almost surely, 2^{1395227725344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395227725344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088519123600).

1395227725344 is an abundant number, since it is smaller than the sum of its proper divisors (2781810521856).

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

1395227725344 is a wasteful number, since it uses less digits than its factorization.

1395227725344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32647 (or 32636 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 1395227725344 in words is "one trillion, three hundred ninety-five billion, two hundred twenty-seven million, seven hundred twenty-five thousand, three hundred forty-four".