44144100130200 has 192 divisors, whose sum is σ = 156409989120000. Its totient is φ = 10089193021440.

The previous prime is 44144100130187. The next prime is 44144100130237. The reversal of 44144100130200 is 203100144144.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47923576 + ... + 48836024.

It is an arithmetic number, because the mean of its divisors is an integer number (814635360000).

Almost surely, 2^{44144100130200} is an apocalyptic number.

44144100130200 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 44144100130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78204994560000).

44144100130200 is an abundant number, since it is smaller than the sum of its proper divisors (112265888989800).

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

44144100130200 is a wasteful number, since it uses less digits than its factorization.

44144100130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923994 (or 923985 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 44144100130200 its reverse (203100144144), we get a palindrome (44347200274344).

The spelling of 44144100130200 in words is "forty-four trillion, one hundred forty-four billion, one hundred million, one hundred thirty thousand, two hundred".