44440680960 has 480 divisors, whose sum is σ = 172983178368. Its totient is φ = 10462003200.

The previous prime is 44440680919. The next prime is 44440680967. The reversal of 44440680960 is 6908604444.

44440680960 is a `hidden beast` number, since 44 + 440 + 6 + 80 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (44440680967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6885735 + ... + 6892185.

Almost surely, 2^44440680960 is an apocalyptic number.

44440680960 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 44440680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86491589184).

44440680960 is an abundant number, since it is smaller than the sum of its proper divisors (128542497408).

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

44440680960 is a wasteful number, since it uses less digits than its factorization.

44440680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 44440680960 in words is "forty-four billion, four hundred forty million, six hundred eighty thousand, nine hundred sixty".