4103541200 has 120 divisors (see below), whose sum is σ = 10798103520. Its totient is φ = 1486220800.

The previous prime is 4103541193. The next prime is 4103541217. The reversal of 4103541200 is 21453014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181867 + ... + 1185333.

It is an arithmetic number, because the mean of its divisors is an integer number (89984196).

Almost surely, 2^4103541200 is an apocalyptic number.

4103541200 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 4103541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399051760).

4103541200 is an abundant number, since it is smaller than the sum of its proper divisors (6694562320).

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

4103541200 is a wasteful number, since it uses less digits than its factorization.

4103541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4103541200 is about 64058.8885323497. Note that the first 3 decimals coincide. The cubic root of 4103541200 is about 1600.9813250860.

Adding to 4103541200 its reverse (21453014), we get a palindrome (4124994214).

The spelling of 4103541200 in words is "four billion, one hundred three million, five hundred forty-one thousand, two hundred".