4411007136 has 144 divisors (see below), whose sum is σ = 13412153664. Its totient is φ = 1370253312.

The previous prime is 4411007129. The next prime is 4411007141. The reversal of 4411007136 is 6317001144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499915 + ... + 508661.

It is an arithmetic number, because the mean of its divisors is an integer number (93139956).

Almost surely, 2^4411007136 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 4411007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706076832).

4411007136 is an abundant number, since it is smaller than the sum of its proper divisors (9001146528).

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

4411007136 is a wasteful number, since it uses less digits than its factorization.

4411007136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8883 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4411007136 is about 66415.4133917722. The cubic root of 4411007136 is about 1640.0078246702.

The spelling of 4411007136 in words is "four billion, four hundred eleven million, seven thousand, one hundred thirty-six".