14421044444400 has 480 divisors, whose sum is σ = 56034283219200. Its totient is φ = 3493523174400.

The previous prime is 14421044444393. The next prime is 14421044444539. The reversal of 14421044444400 is 444444012441.

14421044444400 is a `hidden beast` number, since 144 + 2 + 104 + 4 + 4 + 4 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169722727 + ... + 169807673.

It is an arithmetic number, because the mean of its divisors is an integer number (116738090040).

Almost surely, 2^{14421044444400} is an apocalyptic number.

14421044444400 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 14421044444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28017141609600).

14421044444400 is an abundant number, since it is smaller than the sum of its proper divisors (41613238774800).

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

14421044444400 is a wasteful number, since it uses less digits than its factorization.

14421044444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86414 (or 86397 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 14421044444400 its reverse (444444012441), we get a palindrome (14865488456841).

The spelling of 14421044444400 in words is "fourteen trillion, four hundred twenty-one billion, forty-four million, four hundred forty-four thousand, four hundred".