14414400000 has 1440 divisors, whose sum is σ = 69815281536. Its totient is φ = 2764800000.

The previous prime is 14414399981. The next prime is 14414400031. The reversal of 14414400000 is 441441.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1108799994 + ... + 1108800006.

Almost surely, 2^14414400000 is an apocalyptic number.

14414400000 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 14414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34907640768).

14414400000 is an abundant number, since it is smaller than the sum of its proper divisors (55400881536).

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

14414400000 is an equidigital number, since it uses as much as digits as its factorization.

14414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14414400000 its reverse (441441), we get a palindrome (14414841441).

It can be divided in two parts, 14414 and 400000, that added together give a palindrome (414414).

The spelling of 14414400000 in words is "fourteen billion, four hundred fourteen million, four hundred thousand".