4105094400 has 972 divisors, whose sum is σ = 17529016960. Its totient is φ = 912384000.

The previous prime is 4105094387. The next prime is 4105094429. The reversal of 4105094400 is 44905014.

It is a super-2 number, since 2×4105094400² = 33703600065822720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 132422385 + ... + 132422415.

Almost surely, 2^4105094400 is an apocalyptic number.

4105094400 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 4105094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764508480).

4105094400 is an abundant number, since it is smaller than the sum of its proper divisors (13423922560).

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

4105094400 is a wasteful number, since it uses less digits than its factorization.

4105094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4105094400 is about 64071.0106054212. The cubic root of 4105094400 is about 1601.1832913394.

Adding to 4105094400 its reverse (44905014), we get a palindrome (4149999414).

The spelling of 4105094400 in words is "four billion, one hundred five million, ninety-four thousand, four hundred".