4302222120400 has 120 divisors (see below), whose sum is σ = 10439262737280. Its totient is φ = 1703720133120.

The previous prime is 4302222120397. The next prime is 4302222120407. The reversal of 4302222120400 is 40212222034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4302222120407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180155661 + ... + 180179539.

It is an arithmetic number, because the mean of its divisors is an integer number (86993856144).

Almost surely, 2^{4302222120400} is an apocalyptic number.

4302222120400 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 4302222120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219631368640).

4302222120400 is an abundant number, since it is smaller than the sum of its proper divisors (6137040616880).

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

4302222120400 is a wasteful number, since it uses less digits than its factorization.

4302222120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28373 (or 28362 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4302222120400 its reverse (40212222034), we get a palindrome (4342434342434).

The spelling of 4302222120400 in words is "four trillion, three hundred two billion, two hundred twenty-two million, one hundred twenty thousand, four hundred".