4100444140200 has 192 divisors, whose sum is σ = 13138091132160. Its totient is φ = 1057121694720.

The previous prime is 4100444140151. The next prime is 4100444140213. The reversal of 4100444140200 is 20414440014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2897169 + ... + 4073631.

It is an arithmetic number, because the mean of its divisors is an integer number (68427557980).

Almost surely, 2^{4100444140200} is an apocalyptic number.

4100444140200 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 4100444140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569045566080).

4100444140200 is an abundant number, since it is smaller than the sum of its proper divisors (9037646991960).

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

4100444140200 is a wasteful number, since it uses less digits than its factorization.

4100444140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176676 (or 1176667 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4100444140200 its reverse (20414440014), we get a palindrome (4120858580214).

The spelling of 4100444140200 in words is "four trillion, one hundred billion, four hundred forty-four million, one hundred forty thousand, two hundred".