44261169120 has 384 divisors, whose sum is σ = 178412129280. Its totient is φ = 10038712320.

The previous prime is 44261169107. The next prime is 44261169187. The reversal of 44261169120 is 2196116244.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 3955854 + ... + 3967026.

It is an arithmetic number, because the mean of its divisors is an integer number (464614920).

Almost surely, 2^44261169120 is an apocalyptic number.

44261169120 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 44261169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89206064640).

44261169120 is an abundant number, since it is smaller than the sum of its proper divisors (134150960160).

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

44261169120 is a wasteful number, since it uses less digits than its factorization.

44261169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 4426116 and 9120, that added together give a square (4435236 = 2106²).

The spelling of 44261169120 in words is "forty-four billion, two hundred sixty-one million, one hundred sixty-nine thousand, one hundred twenty".