44103775229440 has 320 divisors, whose sum is σ = 109236282091200. Its totient is φ = 17064961376256.

The previous prime is 44103775229417. The next prime is 44103775229483. The reversal of 44103775229440 is 4492257730144.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 26425268926 + ... + 26425270594.

It is an arithmetic number, because the mean of its divisors is an integer number (341363381535).

Almost surely, 2^{44103775229440} is an apocalyptic number.

44103775229440 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 44103775229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54618141045600).

44103775229440 is an abundant number, since it is smaller than the sum of its proper divisors (65132506861760).

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

44103775229440 is a wasteful number, since it uses less digits than its factorization.

44103775229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 44103775229440 in words is "forty-four trillion, one hundred three billion, seven hundred seventy-five million, two hundred twenty-nine thousand, four hundred forty".