14441021400 has 192 divisors, whose sum is σ = 49766814720. Its totient is φ = 3439987200.

The previous prime is 14441021333. The next prime is 14441021437. The reversal of 14441021400 is 412014441.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 211939 + ... + 271661.

It is an arithmetic number, because the mean of its divisors is an integer number (259202160).

Almost surely, 2^14441021400 is an apocalyptic number.

14441021400 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 14441021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883407360).

14441021400 is an abundant number, since it is smaller than the sum of its proper divisors (35325793320).

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

14441021400 is a wasteful number, since it uses less digits than its factorization.

14441021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59786 (or 59777 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14441021400 its reverse (412014441), we get a palindrome (14853035841).

The spelling of 14441021400 in words is "fourteen billion, four hundred forty-one million, twenty-one thousand, four hundred".