44950485565440 has 3072 divisors, whose sum is σ = 209677439462400. Its totient is φ = 8971138105344.

The previous prime is 44950485565417. The next prime is 44950485565481. The reversal of 44950485565440 is 4456558405944.

44950485565440 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 0 + 4 + 85 + 5 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 68836884154 + ... + 68836884806.

It is an arithmetic number, because the mean of its divisors is an integer number (68254374825).

Almost surely, 2^{44950485565440} is an apocalyptic number.

44950485565440 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 44950485565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104838719731200).

44950485565440 is an abundant number, since it is smaller than the sum of its proper divisors (164726953896960).

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

44950485565440 is an equidigital number, since it uses as much as digits as its factorization.

44950485565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 276480000, while the sum is 63.

The spelling of 44950485565440 in words is "forty-four trillion, nine hundred fifty billion, four hundred eighty-five million, five hundred sixty-five thousand, four hundred forty".