4105904640 has 160 divisors (see below), whose sum is σ = 13275757440. Its totient is φ = 1082425344.

The previous prime is 4105904611. The next prime is 4105904657. The reversal of 4105904640 is 464095014.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×4105904640³ (a number of 30 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 680517 + ... + 686523.

It is an arithmetic number, because the mean of its divisors is an integer number (82973484).

Almost surely, 2^4105904640 is an apocalyptic number.

4105904640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637878720).

4105904640 is an abundant number, since it is smaller than the sum of its proper divisors (9169852800).

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

4105904640 is an equidigital number, since it uses as much as digits as its factorization.

4105904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4105904640 is about 64077.3332778448. Note that the first 3 decimals coincide. The cubic root of 4105904640 is about 1601.2886285359.

Adding to 4105904640 its reverse (464095014), we get a palindrome (4569999654).

The spelling of 4105904640 in words is "four billion, one hundred five million, nine hundred four thousand, six hundred forty".