14400424000 has 112 divisors (see below), whose sum is σ = 36422380800. Its totient is φ = 5637465600.

The previous prime is 14400423979. The next prime is 14400424001. The reversal of 14400424000 is 42400441.

It is a super-2 number, since 2×14400424000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14400424001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356851 + ... + 395149.

Almost surely, 2^14400424000 is an apocalyptic number.

14400424000 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 14400424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18211190400).

14400424000 is an abundant number, since it is smaller than the sum of its proper divisors (22021956800).

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

14400424000 is an equidigital number, since it uses as much as digits as its factorization.

14400424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38373 (or 38353 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 14400424000 its reverse (42400441), we get a palindrome (14442824441).

The spelling of 14400424000 in words is "fourteen billion, four hundred million, four hundred twenty-four thousand".