4416967544 has 192 divisors, whose sum is σ = 10132684800. Its totient is φ = 1796256000.

The previous prime is 4416967517. The next prime is 4416967549. The reversal of 4416967544 is 4457696144.

It is a junction number, because it is equal to n+sod(n) for n = 4416967492 and 4416967501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416967549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34779209 + ... + 34779335.

It is an arithmetic number, because the mean of its divisors is an integer number (52774400).

Almost surely, 2^4416967544 is an apocalyptic number.

4416967544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416967544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066342400).

4416967544 is an abundant number, since it is smaller than the sum of its proper divisors (5715717256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4416967544 is a wasteful number, since it uses less digits than its factorization.

4416967544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

The square root of 4416967544 is about 66460.2704177466. The cubic root of 4416967544 is about 1640.7461833457.

The spelling of 4416967544 in words is "four billion, four hundred sixteen million, nine hundred sixty-seven thousand, five hundred forty-four".