4105517340 has 192 divisors, whose sum is σ = 12870144000. Its totient is φ = 971771904.

The previous prime is 4105517309. The next prime is 4105517341. The reversal of 4105517340 is 437155014.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4105517298 and 4105517307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105517341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6763317 + ... + 6763923.

It is an arithmetic number, because the mean of its divisors is an integer number (67032000).

Almost surely, 2^4105517340 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 4105517340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072000).

4105517340 is an abundant number, since it is smaller than the sum of its proper divisors (8764626660).

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

4105517340 is a wasteful number, since it uses less digits than its factorization.

4105517340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 4105517340 is about 64074.3110770611. The cubic root of 4105517340 is about 1601.2382783986.

The spelling of 4105517340 in words is "four billion, one hundred five million, five hundred seventeen thousand, three hundred forty".