4424224033440 has 144 divisors (see below), whose sum is σ = 15099034198248. Its totient is φ = 1179686043648.

The previous prime is 4424224033429. The next prime is 4424224033447. The reversal of 4424224033440 is 443304224244.

4424224033440 is a `hidden beast` number, since 4 + 4 + 2 + 42 + 240 + 334 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2453446057104 + 1970777976336 = 1566348^2 + 1403844^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 4424224033395 and 4424224033404.

It is not an unprimeable number, because it can be changed into a prime (4424224033447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16422064 + ... + 16689296.

Almost surely, 2^{4424224033440} is an apocalyptic number.

4424224033440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424224033440 is an abundant number, since it is smaller than the sum of its proper divisors (10674810164808).

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

4424224033440 is a wasteful number, since it uses less digits than its factorization.

4424224033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278751 (or 278740 counting only the distinct ones).

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

Adding to 4424224033440 its reverse (443304224244), we get a palindrome (4867528257684).

The spelling of 4424224033440 in words is "four trillion, four hundred twenty-four billion, two hundred twenty-four million, thirty-three thousand, four hundred forty".