44161200 has 300 divisors, whose sum is σ = 167444640. Its totient is φ = 11128320.

The previous prime is 44161199. The next prime is 44161207. The reversal of 44161200 is 216144.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (44161207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 939577 + ... + 939623.

Almost surely, 2^44161200 is an apocalyptic number.

44161200 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 44161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83722320).

44161200 is an abundant number, since it is smaller than the sum of its proper divisors (123283440).

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

44161200 is a wasteful number, since it uses less digits than its factorization.

44161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 44161200 is about 6645.3893791109. The cubic root of 44161200 is about 353.4654385178.

Adding to 44161200 its reverse (216144), we get a palindrome (44377344).

The spelling of 44161200 in words is "forty-four million, one hundred sixty-one thousand, two hundred".