1395240541344 has 144 divisors (see below), whose sum is σ = 4331458213992. Its totient is φ = 423423811584.

The previous prime is 1395240541339. The next prime is 1395240541361. The reversal of 1395240541344 is 4431450425931.

It is a happy number.

1395240541344 is a `hidden beast` number, since 1 + 39 + 5 + 2 + 40 + 541 + 34 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 494237120400 + 901003420944 = 703020^2 + 949212^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1395240541344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2279157 + ... + 2825780.

Almost surely, 2^{1395240541344} is an apocalyptic number.

It is an amenable number.

1395240541344 is an abundant number, since it is smaller than the sum of its proper divisors (2936217672648).

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

1395240541344 is a wasteful number, since it uses less digits than its factorization.

1395240541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105039 (or 5105028 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1395240541344 in words is "one trillion, three hundred ninety-five billion, two hundred forty million, five hundred forty-one thousand, three hundred forty-four".