4105200000 has 384 divisors, whose sum is σ = 14916545280. Its totient is φ = 992000000.

The previous prime is 4105199971. The next prime is 4105200023. The reversal of 4105200000 is 25014.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×4105200000⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13199845 + ... + 13200155.

It is an arithmetic number, because the mean of its divisors is an integer number (38845170).

Almost surely, 2^4105200000 is an apocalyptic number.

4105200000 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 4105200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458272640).

4105200000 is an abundant number, since it is smaller than the sum of its proper divisors (10811345280).

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

4105200000 is an equidigital number, since it uses as much as digits as its factorization.

4105200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 4105200000 is about 64071.8346857650. The cubic root of 4105200000 is about 1601.1970209064.

Adding to 4105200000 its reverse (25014), we get a palindrome (4105225014).

The spelling of 4105200000 in words is "four billion, one hundred five million, two hundred thousand".