4413984489967 has 64 divisors (see below), whose sum is σ = 5153857632000. Its totient is φ = 3746360217600.

The previous prime is 4413984489911. The next prime is 4413984490001. The reversal of 4413984489967 is 7699844893144.

It is not a de Polignac number, because 4413984489967 - 2¹⁵ = 4413984457199 is a prime.

It is a super-2 number, since 2×4413984489967² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4413984489893 and 4413984489902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413984439967) 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 63 ways as a sum of consecutive naturals, for example, 3392762217 + ... + 3392763517.

It is an arithmetic number, because the mean of its divisors is an integer number (80529025500).

Almost surely, 2^{4413984489967} is an apocalyptic number.

4413984489967 is a deficient number, since it is larger than the sum of its proper divisors (739873142033).

4413984489967 is a wasteful number, since it uses less digits than its factorization.

4413984489967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788.

The product of its digits is 1504935936, while the sum is 76.

The spelling of 4413984489967 in words is "four trillion, four hundred thirteen billion, nine hundred eighty-four million, four hundred eighty-nine thousand, nine hundred sixty-seven".