14425344000 has 384 divisors, whose sum is σ = 53354246400. Its totient is φ = 3844915200.

The previous prime is 14425343969. The next prime is 14425344023. The reversal of 14425344000 is 44352441.

It is a happy number.

14425344000 is a `hidden beast` number, since 1 + 4 + 4 + 253 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×14425344000³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 6910957 + ... + 6913043.

It is an arithmetic number, because the mean of its divisors is an integer number (138943350).

Almost surely, 2^14425344000 is an apocalyptic number.

14425344000 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 14425344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26677123200).

14425344000 is an abundant number, since it is smaller than the sum of its proper divisors (38928902400).

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

14425344000 is an equidigital number, since it uses as much as digits as its factorization.

14425344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14425344000 its reverse (44352441), we get a palindrome (14469696441).

The spelling of 14425344000 in words is "fourteen billion, four hundred twenty-five million, three hundred forty-four thousand".