14120143400 has 288 divisors, whose sum is σ = 37470648600. Its totient is φ = 4942080000.

The previous prime is 14120143321. The next prime is 14120143409. The reversal of 14120143400 is 434102141.

It can be written as a sum of positive squares in 12 ways, for example, as 6694185124 + 7425958276 = 81818^2 + 86174^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14120143409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129542546 + ... + 129542654.

Almost surely, 2^14120143400 is an apocalyptic number.

14120143400 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 14120143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18735324300).

14120143400 is an abundant number, since it is smaller than the sum of its proper divisors (23350505200).

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

14120143400 is a wasteful number, since it uses less digits than its factorization.

14120143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14120143400 its reverse (434102141), we get a palindrome (14554245541).

The spelling of 14120143400 in words is "fourteen billion, one hundred twenty million, one hundred forty-three thousand, four hundred".