1406056313441 has 8 divisors (see below), whose sum is σ = 1514228873640. Its totient is φ = 1297885807872.

The previous prime is 1406056313437. The next prime is 1406056313443. The reversal of 1406056313441 is 1443136506041.

It can be written as a sum of positive squares in 4 ways, for example, as 940277363041 + 465778950400 = 969679^2 + 682480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1406056313441 - 2² = 1406056313437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1406056313395 and 1406056313404.

It is not an unprimeable number, because it can be changed into a prime (1406056313443) 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 7 ways as a sum of consecutive naturals, for example, 1094051 + ... + 2002263.

It is an arithmetic number, because the mean of its divisors is an integer number (189278609205).

Almost surely, 2^{1406056313441} is an apocalyptic number.

It is an amenable number.

1406056313441 is a deficient number, since it is larger than the sum of its proper divisors (108172560199).

1406056313441 is a wasteful number, since it uses less digits than its factorization.

1406056313441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027315.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 1406056313441 in words is "one trillion, four hundred six billion, fifty-six million, three hundred thirteen thousand, four hundred forty-one".