4105708248960 has 768 divisors, whose sum is σ = 15547156934400. Its totient is φ = 1032493547520.

The previous prime is 4105708248959. The next prime is 4105708249021. The reversal of 4105708248960 is 698428075014.

It is a happy number.

4105708248960 is a `hidden beast` number, since 4 + 1 + 0 + 570 + 8 + 2 + 4 + 8 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4105708248897 and 4105708248906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 670754700 + ... + 670760820.

It is an arithmetic number, because the mean of its divisors is an integer number (20243693925).

Almost surely, 2^{4105708248960} is an apocalyptic number.

4105708248960 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 4105708248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7773578467200).

4105708248960 is an abundant number, since it is smaller than the sum of its proper divisors (11441448685440).

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

4105708248960 is a wasteful number, since it uses less digits than its factorization.

4105708248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 4105708248960 in words is "four trillion, one hundred five billion, seven hundred eight million, two hundred forty-eight thousand, nine hundred sixty".