4444030811040 has 384 divisors, whose sum is σ = 15353148706560. Its totient is φ = 1075506905088.

The previous prime is 4444030811039. The next prime is 4444030811093. The reversal of 4444030811040 is 401180304444.

It is a junction number, because it is equal to n+sod(n) for n = 4444030810992 and 4444030811010.

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, 188590299 + ... + 188613861.

It is an arithmetic number, because the mean of its divisors is an integer number (39982158090).

Almost surely, 2^{4444030811040} is an apocalyptic number.

4444030811040 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 4444030811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676574353280).

4444030811040 is an abundant number, since it is smaller than the sum of its proper divisors (10909117895520).

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

4444030811040 is a wasteful number, since it uses less digits than its factorization.

4444030811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24424 (or 24416 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 4444030811040 in words is "four trillion, four hundred forty-four billion, thirty million, eight hundred eleven thousand, forty".