14230142400 has 168 divisors, whose sum is σ = 49433286960. Its totient is φ = 3571466240.

The previous prime is 14230142393. The next prime is 14230142429. The reversal of 14230142400 is 424103241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5595 + ... + 168794.

Almost surely, 2^14230142400 is an apocalyptic number.

14230142400 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 14230142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24716643480).

14230142400 is an abundant number, since it is smaller than the sum of its proper divisors (35203144560).

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

14230142400 is a wasteful number, since it uses less digits than its factorization.

14230142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174431 (or 174416 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14230142400 its reverse (424103241), we get a palindrome (14654245641).

It can be divided in two parts, 1423014 and 2400, that multiplied together give a square (3415233600 = 58440²).

The spelling of 14230142400 in words is "fourteen billion, two hundred thirty million, one hundred forty-two thousand, four hundred".