14222444410400 has 144 divisors (see below), whose sum is σ = 36506622567240. Its totient is φ = 5402759577600.

The previous prime is 14222444410397. The next prime is 14222444410571. The reversal of 14222444410400 is 401444422241.

It can be written as a sum of positive squares in 12 ways, for example, as 442698606736 + 13779745803664 = 665356^2 + 3712108^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3609689 + ... + 6440088.

Almost surely, 2^{14222444410400} is an apocalyptic number.

14222444410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222444410400 is an abundant number, since it is smaller than the sum of its proper divisors (22284178156840).

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

14222444410400 is a wasteful number, since it uses less digits than its factorization.

14222444410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049887 (or 10049874 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 14222444410400 its reverse (401444422241), we get a palindrome (14623888832641).

The spelling of 14222444410400 in words is "fourteen trillion, two hundred twenty-two billion, four hundred forty-four million, four hundred ten thousand, four hundred".