44006409216 has 528 divisors, whose sum is σ = 165441487680. Its totient is φ = 11426365440.

The previous prime is 44006409169. The next prime is 44006409217. The reversal of 44006409216 is 61290460044.

44006409216 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 640 + 9 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (44006409217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14900796 + ... + 14903748.

Almost surely, 2^44006409216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44006409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82720743840).

44006409216 is an abundant number, since it is smaller than the sum of its proper divisors (121435078464).

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

44006409216 is a wasteful number, since it uses less digits than its factorization.

44006409216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 44006409216 in words is "forty-four billion, six million, four hundred nine thousand, two hundred sixteen".