4434224012240 has 120 divisors (see below), whose sum is σ = 11337759857760. Its totient is φ = 1611626607360.

The previous prime is 4434224012237. The next prime is 4434224012243. The reversal of 4434224012240 is 422104224344.

It is an interprime number because it is at equal distance from previous prime (4434224012237) and next prime (4434224012243).

It is a junction number, because it is equal to n+sod(n) for n = 4434224012197 and 4434224012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434224012243) 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, 19118891 + ... + 19349429.

It is an arithmetic number, because the mean of its divisors is an integer number (94481332148).

Almost surely, 2^{4434224012240} is an apocalyptic number.

4434224012240 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 4434224012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668879928880).

4434224012240 is an abundant number, since it is smaller than the sum of its proper divisors (6903535845520).

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

4434224012240 is a wasteful number, since it uses less digits than its factorization.

4434224012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232561 (or 232544 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4434224012240 its reverse (422104224344), we get a palindrome (4856328236584).

The spelling of 4434224012240 in words is "four trillion, four hundred thirty-four billion, two hundred twenty-four million, twelve thousand, two hundred forty".