4224142144440 has 384 divisors, whose sum is σ = 14513810688000. Its totient is φ = 1062525993984.

The previous prime is 4224142144363. The next prime is 4224142144583. The reversal of 4224142144440 is 444412414224.

4224142144440 is a `hidden beast` number, since 4 + 22 + 414 + 214 + 4 + 4 + 4 + 0 = 666.

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 = 4224142144395 and 4224142144404.

It is a congruent number.

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, 1792167742 + ... + 1792170098.

It is an arithmetic number, because the mean of its divisors is an integer number (37796382000).

Almost surely, 2^{4224142144440} is an apocalyptic number.

4224142144440 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 4224142144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256905344000).

4224142144440 is an abundant number, since it is smaller than the sum of its proper divisors (10289668543560).

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

4224142144440 is a wasteful number, since it uses less digits than its factorization.

4224142144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 4224142144440 its reverse (444412414224), we get a palindrome (4668554558664).

The spelling of 4224142144440 in words is "four trillion, two hundred twenty-four billion, one hundred forty-two million, one hundred forty-four thousand, four hundred forty".