4444020033040 has 320 divisors, whose sum is σ = 12707508096000. Its totient is φ = 1410745171968.

The previous prime is 4444020032953. The next prime is 4444020033041. The reversal of 4444020033040 is 403300204444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4444020033041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168595542 + ... + 168621898.

It is an arithmetic number, because the mean of its divisors is an integer number (39710962800).

Almost surely, 2^{4444020033040} is an apocalyptic number.

4444020033040 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 4444020033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353754048000).

4444020033040 is an abundant number, since it is smaller than the sum of its proper divisors (8263488062960).

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

4444020033040 is a wasteful number, since it uses less digits than its factorization.

4444020033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26682 (or 26676 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 4444020033040 its reverse (403300204444), we get a palindrome (4847320237484).

The spelling of 4444020033040 in words is "four trillion, four hundred forty-four billion, twenty million, thirty-three thousand, forty".