14003424400 has 240 divisors, whose sum is σ = 39708458496. Its totient is φ = 4646338560.

The previous prime is 14003424371. The next prime is 14003424401. The reversal of 14003424400 is 442430041.

It is not an unprimeable number, because it can be changed into a prime (14003424401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12764652 + ... + 12765748.

Almost surely, 2^14003424400 is an apocalyptic number.

14003424400 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 14003424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19854229248).

14003424400 is an abundant number, since it is smaller than the sum of its proper divisors (25705034096).

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

14003424400 is a wasteful number, since it uses less digits than its factorization.

14003424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 14003424400 its reverse (442430041), we get a palindrome (14445854441).

The spelling of 14003424400 in words is "fourteen billion, three million, four hundred twenty-four thousand, four hundred".