4411863441216 has 672 divisors, whose sum is σ = 15899426070528. Its totient is φ = 1136301281280.

The previous prime is 4411863441203. The next prime is 4411863441241. The reversal of 4411863441216 is 6121443681144.

4411863441216 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 8 + 634 + 4 + 1 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3036381546 + ... + 3036382998.

It is an arithmetic number, because the mean of its divisors is an integer number (23659860224).

Almost surely, 2^{4411863441216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4411863441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949713035264).

4411863441216 is an abundant number, since it is smaller than the sum of its proper divisors (11487562629312).

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

4411863441216 is a wasteful number, since it uses less digits than its factorization.

4411863441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2006 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 4411863441216 in words is "four trillion, four hundred eleven billion, eight hundred sixty-three million, four hundred forty-one thousand, two hundred sixteen".