14375424000 has 624 divisors, whose sum is σ = 55936797696. Its totient is φ = 3268608000.

The previous prime is 14375423893. The next prime is 14375424013. The reversal of 14375424000 is 42457341.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 75263905 + ... + 75264095.

It is an arithmetic number, because the mean of its divisors is an integer number (89642304).

Almost surely, 2^14375424000 is an apocalyptic number.

14375424000 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 14375424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27968398848).

14375424000 is an abundant number, since it is smaller than the sum of its proper divisors (41561373696).

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

14375424000 is an equidigital number, since it uses as much as digits as its factorization.

14375424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 14375424000 in words is "fourteen billion, three hundred seventy-five million, four hundred twenty-four thousand".