4444840008480 has 384 divisors, whose sum is σ = 14939755084800. Its totient is φ = 1108679491584.

The previous prime is 4444840008457. The next prime is 4444840008551. The reversal of 4444840008480 is 848000484444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119985801 + ... + 120022839.

It is an arithmetic number, because the mean of its divisors is an integer number (38905612200).

Almost surely, 2^{4444840008480} is an apocalyptic number.

4444840008480 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 4444840008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469877542400).

4444840008480 is an abundant number, since it is smaller than the sum of its proper divisors (10494915076320).

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

4444840008480 is a wasteful number, since it uses less digits than its factorization.

4444840008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37356 (or 37348 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 4444840008480 in words is "four trillion, four hundred forty-four billion, eight hundred forty million, eight thousand, four hundred eighty".