4243210422400 has 192 divisors, whose sum is σ = 10653778773000. Its totient is φ = 1669672632320.

The previous prime is 4243210422349. The next prime is 4243210422509. The reversal of 4243210422400 is 42240123424.

It can be written as a sum of positive squares in 12 ways, for example, as 2148428925504 + 2094781496896 = 1465752^2 + 1447336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56067786 + ... + 56143414.

Almost surely, 2^{4243210422400} is an apocalyptic number.

4243210422400 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 4243210422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326889386500).

4243210422400 is an abundant number, since it is smaller than the sum of its proper divisors (6410568350600).

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

4243210422400 is a wasteful number, since it uses less digits than its factorization.

4243210422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75939 (or 75922 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4243210422400 its reverse (42240123424), we get a palindrome (4285450545824).

The spelling of 4243210422400 in words is "four trillion, two hundred forty-three billion, two hundred ten million, four hundred twenty-two thousand, four hundred".