14220224400 has 120 divisors (see below), whose sum is σ = 45581998240. Its totient is φ = 3789573120.

The previous prime is 14220224387. The next prime is 14220224411. The reversal of 14220224400 is 442202241.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 2496756 + ... + 2502444.

Almost surely, 2^14220224400 is an apocalyptic number.

14220224400 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 14220224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22790999120).

14220224400 is an abundant number, since it is smaller than the sum of its proper divisors (31361773840).

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

14220224400 is a wasteful number, since it uses less digits than its factorization.

14220224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 14220224400 its reverse (442202241), we get a palindrome (14662426641).

The spelling of 14220224400 in words is "fourteen billion, two hundred twenty million, two hundred twenty-four thousand, four hundred".