4105311456 has 96 divisors (see below), whose sum is σ = 11734934400. Its totient is φ = 1251694080.

The previous prime is 4105311409. The next prime is 4105311461. The reversal of 4105311456 is 6541135014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14091 + ... + 91701.

It is an arithmetic number, because the mean of its divisors is an integer number (122238900).

Almost surely, 2^4105311456 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 4105311456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867467200).

4105311456 is an abundant number, since it is smaller than the sum of its proper divisors (7629622944).

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

4105311456 is a wasteful number, since it uses less digits than its factorization.

4105311456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77672 (or 77664 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 4105311456 is about 64072.7044536127. The cubic root of 4105311456 is about 1601.2115115849.

The spelling of 4105311456 in words is "four billion, one hundred five million, three hundred eleven thousand, four hundred fifty-six".