4512224140320 has 384 divisors, whose sum is σ = 15558791592960. Its totient is φ = 1092470353920.

The previous prime is 4512224140313. The next prime is 4512224140339. The reversal of 4512224140320 is 230414222154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 288885471 + ... + 288901089.

It is an arithmetic number, because the mean of its divisors is an integer number (40517686440).

Almost surely, 2^{4512224140320} is an apocalyptic number.

4512224140320 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 4512224140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779395796480).

4512224140320 is an abundant number, since it is smaller than the sum of its proper divisors (11046567452640).

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

4512224140320 is a wasteful number, since it uses less digits than its factorization.

4512224140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16408 (or 16400 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4512224140320 its reverse (230414222154), we get a palindrome (4742638362474).

The spelling of 4512224140320 in words is "four trillion, five hundred twelve billion, two hundred twenty-four million, one hundred forty thousand, three hundred twenty".