4411323072 has 224 divisors, whose sum is σ = 14030553600. Its totient is φ = 1351074816.

The previous prime is 4411323071. The next prime is 4411323073. The reversal of 4411323072 is 2703231144.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4411323071) and next prime (4411323073).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4411323071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8064303 + ... + 8064849.

It is an arithmetic number, because the mean of its divisors is an integer number (62636400).

Almost surely, 2^4411323072 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 4411323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015276800).

4411323072 is an abundant number, since it is smaller than the sum of its proper divisors (9619230528).

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

4411323072 is a wasteful number, since it uses less digits than its factorization.

4411323072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4411323072 is about 66417.7918332129. The cubic root of 4411323072 is about 1640.0469786265.

The spelling of 4411323072 in words is "four billion, four hundred eleven million, three hundred twenty-three thousand, seventy-two".