44187878144 has 144 divisors (see below), whose sum is σ = 95170602240. Its totient is φ = 20428800000.

The previous prime is 44187878117. The next prime is 44187878159.

It is a happy number.

44187878144 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44187878144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23243594 + ... + 23245494.

It is an arithmetic number, because the mean of its divisors is an integer number (660906960).

Almost surely, 2^44187878144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44187878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47585301120).

44187878144 is an abundant number, since it is smaller than the sum of its proper divisors (50982724096).

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

44187878144 is a wasteful number, since it uses less digits than its factorization.

44187878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2064 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 56.

The spelling of 44187878144 in words is "forty-four billion, one hundred eighty-seven million, eight hundred seventy-eight thousand, one hundred forty-four".