4350122442400 has 288 divisors, whose sum is σ = 12565697743872. Its totient is φ = 1439056281600.

The previous prime is 4350122442389. The next prime is 4350122442401. The reversal of 4350122442400 is 42442210534.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4350122442401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58466022 + ... + 58540378.

It is an arithmetic number, because the mean of its divisors is an integer number (43630894944).

Almost surely, 2^{4350122442400} is an apocalyptic number.

4350122442400 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 4350122442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282848871936).

4350122442400 is an abundant number, since it is smaller than the sum of its proper divisors (8215575301472).

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

4350122442400 is a wasteful number, since it uses less digits than its factorization.

4350122442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74752 (or 74739 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 4350122442400 its reverse (42442210534), we get a palindrome (4392564652934).

The spelling of 4350122442400 in words is "four trillion, three hundred fifty billion, one hundred twenty-two million, four hundred forty-two thousand, four hundred".