4411162890816 has 448 divisors, whose sum is σ = 13592073196800. Its totient is φ = 1247775293440.

The previous prime is 4411162890791. The next prime is 4411162890859. The reversal of 4411162890816 is 6180982611144.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4205111860 + ... + 4205112908.

It is an arithmetic number, because the mean of its divisors is an integer number (30339449100).

Almost surely, 2^{4411162890816} 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 4411162890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796036598400).

4411162890816 is an abundant number, since it is smaller than the sum of its proper divisors (9180910305984).

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

4411162890816 is a wasteful number, since it uses less digits than its factorization.

4411162890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 4411162890816 in words is "four trillion, four hundred eleven billion, one hundred sixty-two million, eight hundred ninety thousand, eight hundred sixteen".