4416506141309 has 16 divisors (see below), whose sum is σ = 4533383245104. Its totient is φ = 4300954944000.

The previous prime is 4416506141269. The next prime is 4416506141323. The reversal of 4416506141309 is 9031416056144.

It can be written as a sum of positive squares in 8 ways, for example, as 1470895968025 + 2945610173284 = 1212805^2 + 1716278^2 .

It is a cyclic number.

It is not a de Polignac number, because 4416506141309 - 2²⁴ = 4416489364093 is a prime.

It is a super-2 number, since 2×4416506141309² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4416506141309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416506041309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5109839 + ... + 5911299.

It is an arithmetic number, because the mean of its divisors is an integer number (283336452819).

Almost surely, 2^{4416506141309} is an apocalyptic number.

It is an amenable number.

4416506141309 is a deficient number, since it is larger than the sum of its proper divisors (116877103795).

4416506141309 is a wasteful number, since it uses less digits than its factorization.

4416506141309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802288.

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 4416506141309 in words is "four trillion, four hundred sixteen billion, five hundred six million, one hundred forty-one thousand, three hundred nine".