44349603840 has 240 divisors, whose sum is σ = 157690532160. Its totient is φ = 11825971200.

The previous prime is 44349603829. The next prime is 44349603913. The reversal of 44349603840 is 4830694344.

It is a happy number.

44349603840 is a `hidden beast` number, since 4 + 4 + 34 + 9 + 603 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2201815 + ... + 2221865.

It is an arithmetic number, because the mean of its divisors is an integer number (657043884).

Almost surely, 2^44349603840 is an apocalyptic number.

44349603840 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 44349603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78845266080).

44349603840 is an abundant number, since it is smaller than the sum of its proper divisors (113340928320).

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

44349603840 is an equidigital number, since it uses as much as digits as its factorization.

44349603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20093 (or 20061 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 44349603840 in words is "forty-four billion, three hundred forty-nine million, six hundred three thousand, eight hundred forty".