14402444100 has 144 divisors (see below), whose sum is σ = 45514586880. Its totient is φ = 3487260800.

The previous prime is 14402444099. The next prime is 14402444117. The reversal of 14402444100 is 144420441.

It is a happy 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, 3360559 + ... + 3364841.

It is an arithmetic number, because the mean of its divisors is an integer number (316073520).

Almost surely, 2^14402444100 is an apocalyptic number.

14402444100 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 14402444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22757293440).

14402444100 is an abundant number, since it is smaller than the sum of its proper divisors (31112142780).

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

14402444100 is a wasteful number, since it uses less digits than its factorization.

14402444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14402444100 its reverse (144420441), we get a palindrome (14546864541).

The spelling of 14402444100 in words is "fourteen billion, four hundred two million, four hundred forty-four thousand, one hundred".