4444624080 has 240 divisors, whose sum is σ = 16205629440. Its totient is φ = 1085156352.

The previous prime is 4444624073. The next prime is 4444624081. The reversal of 4444624080 is 804264444.

It is a tau number, because it is divible by the number of its divisors (240).

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 (4444624081) 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, 1186851 + ... + 1190589.

It is an arithmetic number, because the mean of its divisors is an integer number (67523456).

Almost surely, 2^4444624080 is an apocalyptic number.

4444624080 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 4444624080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102814720).

4444624080 is an abundant number, since it is smaller than the sum of its proper divisors (11761005360).

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

4444624080 is a wasteful number, since it uses less digits than its factorization.

4444624080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4444624080 is about 66668.0139197202. The cubic root of 4444624080 is about 1644.1635335574.

The spelling of 4444624080 in words is "four billion, four hundred forty-four million, six hundred twenty-four thousand, eighty".