4105941840 has 960 divisors, whose sum is σ = 19290765312. Its totient is φ = 783820800.

The previous prime is 4105941821. The next prime is 4105941859. The reversal of 4105941840 is 481495014.

4105941840 is a `hidden beast` number, since 4 + 10 + 594 + 18 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4105941821) and next prime (4105941859).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4105941795 and 4105941804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19459335 + ... + 19459545.

Almost surely, 2^4105941840 is an apocalyptic number.

4105941840 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 4105941840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645382656).

4105941840 is an abundant number, since it is smaller than the sum of its proper divisors (15184823472).

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

4105941840 is a wasteful number, since it uses less digits than its factorization.

4105941840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4105941840 is about 64077.6235514395. The cubic root of 4105941840 is about 1601.2934644784.

The spelling of 4105941840 in words is "four billion, one hundred five million, nine hundred forty-one thousand, eight hundred forty".