1413401332145 has 48 divisors (see below), whose sum is σ = 1873223227344. Its totient is φ = 1023010560000.

The previous prime is 1413401332117. The next prime is 1413401332163. The reversal of 1413401332145 is 5412331043141.

It can be written as a sum of positive squares in 8 ways, for example, as 588486902641 + 824914429504 = 767129^2 + 908248^2 .

It is not a de Polignac number, because 1413401332145 - 2²⁰ = 1413400283569 is a prime.

It is a super-3 number, since 3×1413401332145³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

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 47 ways as a sum of consecutive naturals, for example, 157022645 + ... + 157031645.

It is an arithmetic number, because the mean of its divisors is an integer number (39025483903).

Almost surely, 2^{1413401332145} is an apocalyptic number.

It is an amenable number.

1413401332145 is a deficient number, since it is larger than the sum of its proper divisors (459821895199).

1413401332145 is a wasteful number, since it uses less digits than its factorization.

1413401332145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 10231 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 1413401332145 its reverse (5412331043141), we get a palindrome (6825732375286).

The spelling of 1413401332145 in words is "one trillion, four hundred thirteen billion, four hundred one million, three hundred thirty-two thousand, one hundred forty-five".