44261041248 has 120 divisors (see below), whose sum is σ = 130789030680. Its totient is φ = 14683576320.

The previous prime is 44261041247. The next prime is 44261041267. The reversal of 44261041248 is 84214016244.

44261041248 is a `hidden beast` number, since 4 + 426 + 104 + 124 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44261041247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 506448 + ... + 587376.

It is an arithmetic number, because the mean of its divisors is an integer number (1089908589).

Almost surely, 2^44261041248 is an apocalyptic number.

44261041248 is a gapful number since it is divisible by the number (48) 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 44261041248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65394515340).

44261041248 is an abundant number, since it is smaller than the sum of its proper divisors (86527989432).

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

44261041248 is a wasteful number, since it uses less digits than its factorization.

44261041248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81162 (or 81145 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 44261041248 in words is "forty-four billion, two hundred sixty-one million, forty-one thousand, two hundred forty-eight".