4244442330240 has 768 divisors, whose sum is σ = 17502919948800. Its totient is φ = 926690181120.

The previous prime is 4244442330239. The next prime is 4244442330253. The reversal of 4244442330240 is 420332444424.

4244442330240 is a `hidden beast` number, since 4 + 2 + 4 + 44 + 42 + 330 + 240 = 666.

It is a super-2 number, since 2×4244442330240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4244442330195 and 4244442330204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 768778680 + ... + 768784200.

It is an arithmetic number, because the mean of its divisors is an integer number (22790260350).

Almost surely, 2^{4244442330240} is an apocalyptic number.

4244442330240 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 4244442330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751459974400).

4244442330240 is an abundant number, since it is smaller than the sum of its proper divisors (13258477618560).

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

4244442330240 is a wasteful number, since it uses less digits than its factorization.

4244442330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6405 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4244442330240 its reverse (420332444424), we get a palindrome (4664774774664).

The spelling of 4244442330240 in words is "four trillion, two hundred forty-four billion, four hundred forty-two million, three hundred thirty thousand, two hundred forty".