14314412000 has 384 divisors, whose sum is σ = 42413559552. Its totient is φ = 4644864000.

The previous prime is 14314411999. The next prime is 14314412003. The reversal of 14314412000 is 21441341.

14314412000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314412003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42475832 + ... + 42476168.

It is an arithmetic number, because the mean of its divisors is an integer number (110451978).

Almost surely, 2^14314412000 is an apocalyptic number.

14314412000 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 14314412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21206779776).

14314412000 is an abundant number, since it is smaller than the sum of its proper divisors (28099147552).

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

14314412000 is a wasteful number, since it uses less digits than its factorization.

14314412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14314412000 its reverse (21441341), we get a palindrome (14335853341).

The spelling of 14314412000 in words is "fourteen billion, three hundred fourteen million, four hundred twelve thousand".