4104344200 has 144 divisors (see below), whose sum is σ = 10829306880. Its totient is φ = 1444080000.

The previous prime is 4104344197. The next prime is 4104344201. The reversal of 4104344200 is 24434014.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4104344201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 747465 + ... + 752935.

It is an arithmetic number, because the mean of its divisors is an integer number (75203520).

Almost surely, 2^4104344200 is an apocalyptic number.

4104344200 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 4104344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414653440).

4104344200 is an abundant number, since it is smaller than the sum of its proper divisors (6724962680).

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

4104344200 is a wasteful number, since it uses less digits than its factorization.

4104344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4104344200 is about 64065.1558961656. The cubic root of 4104344200 is about 1601.0857474287.

Adding to 4104344200 its reverse (24434014), we get a palindrome (4128778214).

The spelling of 4104344200 in words is "four billion, one hundred four million, three hundred forty-four thousand, two hundred".