4105122400 has 72 divisors (see below), whose sum is σ = 10083432744. Its totient is φ = 1631923200.

The previous prime is 4105122397. The next prime is 4105122403. The reversal of 4105122400 is 42215014.

4105122400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4105122397) and next prime (4105122403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105122403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114660 + ... + 146140.

It is an arithmetic number, because the mean of its divisors is an integer number (140047677).

Almost surely, 2^4105122400 is an apocalyptic number.

4105122400 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 4105122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041716372).

4105122400 is an abundant number, since it is smaller than the sum of its proper divisors (5978310344).

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

4105122400 is a wasteful number, since it uses less digits than its factorization.

4105122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31664 (or 31651 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4105122400 is about 64071.2291126056. The cubic root of 4105122400 is about 1601.1869317779.

Adding to 4105122400 its reverse (42215014), we get a palindrome (4147337414).

The spelling of 4105122400 in words is "four billion, one hundred five million, one hundred twenty-two thousand, four hundred".