14420442122400 has 288 divisors, whose sum is σ = 47186370504000. Its totient is φ = 3825200332800.

The previous prime is 14420442122357. The next prime is 14420442122407. The reversal of 14420442122400 is 422124402441.

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

It is not an unprimeable number, because it can be changed into a prime (14420442122407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356665386 + ... + 356705814.

It is an arithmetic number, because the mean of its divisors is an integer number (163841564250).

Almost surely, 2^{14420442122400} is an apocalyptic number.

14420442122400 is a gapful number since it is divisible by the number (10) 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 14420442122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23593185252000).

14420442122400 is an abundant number, since it is smaller than the sum of its proper divisors (32765928381600).

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

14420442122400 is a wasteful number, since it uses less digits than its factorization.

14420442122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41232 (or 41219 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14420442122400 its reverse (422124402441), we get a palindrome (14842566524841).

The spelling of 14420442122400 in words is "fourteen trillion, four hundred twenty billion, four hundred forty-two million, one hundred twenty-two thousand, four hundred".