4444240224240 has 60 divisors (see below), whose sum is σ = 14925240088824. Its totient is φ = 1185130726272.

The previous prime is 4444240224239. The next prime is 4444240224241. The reversal of 4444240224240 is 424220424444.

4444240224240 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 2 + 402 + 2 + 4 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (4444240224239) and next prime (4444240224241).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×4444240224240³ (a number of 39 digits) contains 333 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 = 4444240224195 and 4444240224204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444240224241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3086277214 + ... + 3086278653.

Almost surely, 2^{4444240224240} is an apocalyptic number.

4444240224240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444240224240 is an abundant number, since it is smaller than the sum of its proper divisors (10480999864584).

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

4444240224240 is a wasteful number, since it uses less digits than its factorization.

4444240224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172555886 (or 6172555877 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4444240224240 its reverse (424220424444), we get a palindrome (4868460648684).

The spelling of 4444240224240 in words is "four trillion, four hundred forty-four billion, two hundred forty million, two hundred twenty-four thousand, two hundred forty".