14143114400 has 72 divisors (see below), whose sum is σ = 35717518620. Its totient is φ = 5462159360.

The previous prime is 14143114393. The next prime is 14143114421. The reversal of 14143114400 is 441134141.

It can be written as a sum of positive squares in 6 ways, for example, as 7852086544 + 6291027856 = 88612^2 + 79316^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281609 + ... + 328008.

Almost surely, 2^14143114400 is an apocalyptic number.

14143114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14143114400 is an abundant number, since it is smaller than the sum of its proper divisors (21574404220).

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

14143114400 is a wasteful number, since it uses less digits than its factorization.

14143114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609666 (or 609653 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14143114400 its reverse (441134141), we get a palindrome (14584248541).

The spelling of 14143114400 in words is "fourteen billion, one hundred forty-three million, one hundred fourteen thousand, four hundred".