14030240400 has 540 divisors, whose sum is σ = 55297016320. Its totient is φ = 3288384000.

The previous prime is 14030240353. The next prime is 14030240417. The reversal of 14030240400 is 404203041.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 107 ways as a sum of consecutive naturals, for example, 13503081 + ... + 13504119.

Almost surely, 2^14030240400 is an apocalyptic number.

14030240400 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 14030240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648508160).

14030240400 is an abundant number, since it is smaller than the sum of its proper divisors (41266775920).

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

14030240400 is a wasteful number, since it uses less digits than its factorization.

14030240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 14030240400 its reverse (404203041), we get a palindrome (14434443441).

The spelling of 14030240400 in words is "fourteen billion, thirty million, two hundred forty thousand, four hundred".