4424252212240 has 320 divisors, whose sum is σ = 12092757442560. Its totient is φ = 1474097264640.

The previous prime is 4424252212139. The next prime is 4424252212309. The reversal of 4424252212240 is 422122524244.

It is a junction number, because it is equal to n+sod(n) for n = 4424252212196 and 4424252212205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3464566482 + ... + 3464567758.

It is an arithmetic number, because the mean of its divisors is an integer number (37789867008).

Almost surely, 2^{4424252212240} is an apocalyptic number.

4424252212240 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 4424252212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046378721280).

4424252212240 is an abundant number, since it is smaller than the sum of its proper divisors (7668505230320).

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

4424252212240 is a wasteful number, since it uses less digits than its factorization.

4424252212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 34.

Adding to 4424252212240 its reverse (422122524244), we get a palindrome (4846374736484).

The spelling of 4424252212240 in words is "four trillion, four hundred twenty-four billion, two hundred fifty-two million, two hundred twelve thousand, two hundred forty".