14454440000 has 840 divisors, whose sum is σ = 50790091968. Its totient is φ = 3939840000.

The previous prime is 14454439991. The next prime is 14454440069. The reversal of 14454440000 is 4445441.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 760759991 + ... + 760760009.

Almost surely, 2^14454440000 is an apocalyptic number.

14454440000 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 14454440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25395045984).

14454440000 is an abundant number, since it is smaller than the sum of its proper divisors (36335651968).

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

14454440000 is a wasteful number, since it uses less digits than its factorization.

14454440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 14454440000 its reverse (4445441), we get a palindrome (14458885441).

It can be divided in two parts, 14454 and 440000, that added together give a palindrome (454454).

The spelling of 14454440000 in words is "fourteen billion, four hundred fifty-four million, four hundred forty thousand".