4321442112400 has 480 divisors, whose sum is σ = 12734604933120. Its totient is φ = 1375612968960.

The previous prime is 4321442112397. The next prime is 4321442112419. The reversal of 4321442112400 is 42112441234.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1078471197 + ... + 1078475203.

It is an arithmetic number, because the mean of its divisors is an integer number (26530426944).

Almost surely, 2^{4321442112400} is an apocalyptic number.

4321442112400 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 4321442112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367302466560).

4321442112400 is an abundant number, since it is smaller than the sum of its proper divisors (8413162820720).

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

4321442112400 is a wasteful number, since it uses less digits than its factorization.

4321442112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4321442112400 its reverse (42112441234), we get a palindrome (4363554553634).

The spelling of 4321442112400 in words is "four trillion, three hundred twenty-one billion, four hundred forty-two million, one hundred twelve thousand, four hundred".