4105442880 has 1120 divisors, whose sum is σ = 19437656832. Its totient is φ = 802897920.

The previous prime is 4105442833. The next prime is 4105442881. The reversal of 4105442880 is 882445014.

4105442880 is a `hidden beast` number, since 4 + 10 + 544 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×4105442880² = 33709322481885388800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105442881) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 241496632 + ... + 241496648.

Almost surely, 2^4105442880 is an apocalyptic number.

4105442880 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 4105442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718828416).

4105442880 is an abundant number, since it is smaller than the sum of its proper divisors (15332213952).

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

4105442880 is a wasteful number, since it uses less digits than its factorization.

4105442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4105442880 is about 64073.7300303330. The cubic root of 4105442880 is about 1601.2285980170.

Adding to 4105442880 its reverse (882445014), we get a palindrome (4987887894).

It can be divided in two parts, 4105 and 442880, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 4105442880 in words is "four billion, one hundred five million, four hundred forty-two thousand, eight hundred eighty".