4414420042240 has 320 divisors, whose sum is σ = 12007587715200. Its totient is φ = 1542965428224.

The previous prime is 4414420042181. The next prime is 4414420042273. The reversal of 4414420042240 is 422400244144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392999376 + ... + 1393002544.

It is an arithmetic number, because the mean of its divisors is an integer number (37523711610).

Almost surely, 2^{4414420042240} is an apocalyptic number.

4414420042240 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 4414420042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003793857600).

4414420042240 is an abundant number, since it is smaller than the sum of its proper divisors (7593167672960).

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

4414420042240 is a wasteful number, since it uses less digits than its factorization.

4414420042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 4414420042240 its reverse (422400244144), we get a palindrome (4836820286384).

The spelling of 4414420042240 in words is "four trillion, four hundred fourteen billion, four hundred twenty million, forty-two thousand, two hundred forty".