4004322013345 has 16 divisors (see below), whose sum is σ = 4864763779920. Its totient is φ = 3163927163904.

The previous prime is 4004322013343. The next prime is 4004322013357. The reversal of 4004322013345 is 5433102234004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14359708224 + 3989962305121 = 119832^2 + 1997489^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004322013345 - 2¹ = 4004322013343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4004322013343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11566444 + ... + 11907613.

It is an arithmetic number, because the mean of its divisors is an integer number (304047736245).

Almost surely, 2^{4004322013345} is an apocalyptic number.

It is an amenable number.

4004322013345 is a deficient number, since it is larger than the sum of its proper divisors (860441766575).

4004322013345 is a wasteful number, since it uses less digits than its factorization.

4004322013345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23474484.

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 4004322013345 its reverse (5433102234004), we get a palindrome (9437424247349).

The spelling of 4004322013345 in words is "four trillion, four billion, three hundred twenty-two million, thirteen thousand, three hundred forty-five".