1328400915741 has 12 divisors (see below), whose sum is σ = 1984966885980. Its totient is φ = 855062658240.

The previous prime is 1328400915679. The next prime is 1328400915767. The reversal of 1328400915741 is 1475190048231.

1328400915741 is a `hidden beast` number, since 1 + 32 + 8 + 40 + 0 + 9 + 1 + 574 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1094909011641 + 233491904100 = 1046379^2 + 483210^2 .

It is not a de Polignac number, because 1328400915741 - 2⁹ = 1328400915229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328400915241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2544829080 + ... + 2544829601.

It is an arithmetic number, because the mean of its divisors is an integer number (165413907165).

Almost surely, 2^{1328400915741} is an apocalyptic number.

It is an amenable number.

1328400915741 is a deficient number, since it is larger than the sum of its proper divisors (656565970239).

1328400915741 is a wasteful number, since it uses less digits than its factorization.

1328400915741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089658716 (or 5089658713 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1328400915741 in words is "one trillion, three hundred twenty-eight billion, four hundred million, nine hundred fifteen thousand, seven hundred forty-one".