14442321400400 has 60 divisors (see below), whose sum is σ = 34701369233244. Its totient is φ = 5776313856000.

The previous prime is 14442321400333. The next prime is 14442321400439. The reversal of 14442321400400 is 400412324441.

14442321400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2601730288144 + 11840591112256 = 1612988^2 + 3441016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1852160 + ... + 5684640.

Almost surely, 2^{14442321400400} is an apocalyptic number.

14442321400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442321400400 is an abundant number, since it is smaller than the sum of its proper divisors (20259047832844).

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

14442321400400 is a wasteful number, since it uses less digits than its factorization.

14442321400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841920 (or 3841909 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 14442321400400 its reverse (400412324441), we get a palindrome (14842733724841).

The spelling of 14442321400400 in words is "fourteen trillion, four hundred forty-two billion, three hundred twenty-one million, four hundred thousand, four hundred".