4105344400 has 120 divisors (see below), whose sum is σ = 10237648320. Its totient is φ = 1580167680.

The previous prime is 4105344367. The next prime is 4105344407. The reversal of 4105344400 is 44435014.

It is a super-2 number, since 2×4105344400² = 33707705285222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4105344407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6344877 + ... + 6345523.

It is an arithmetic number, because the mean of its divisors is an integer number (85313736).

Almost surely, 2^4105344400 is an apocalyptic number.

4105344400 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 4105344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118824160).

4105344400 is an abundant number, since it is smaller than the sum of its proper divisors (6132303920).

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

4105344400 is a wasteful number, since it uses less digits than its factorization.

4105344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4105344400 is about 64072.9615360489. The cubic root of 4105344400 is about 1601.2157946681.

Adding to 4105344400 its reverse (44435014), we get a palindrome (4149779414).

The spelling of 4105344400 in words is "four billion, one hundred five million, three hundred forty-four thousand, four hundred".