14301131400 has 72 divisors (see below), whose sum is σ = 48027972330. Its totient is φ = 3813634560.

The previous prime is 14301131399. The next prime is 14301131401. The reversal of 14301131400 is 413110341.

It is an interprime number because it is at equal distance from previous prime (14301131399) and next prime (14301131401).

It can be written as a sum of positive squares in 3 ways, for example, as 6598962756 + 7702168644 = 81234^2 + 87762^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (14301131401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3970737 + ... + 3974336.

Almost surely, 2^14301131400 is an apocalyptic number.

14301131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14301131400 is an abundant number, since it is smaller than the sum of its proper divisors (33726840930).

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

14301131400 is a wasteful number, since it uses less digits than its factorization.

14301131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7945095 (or 7945083 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14301131400 its reverse (413110341), we get a palindrome (14714241741).

The spelling of 14301131400 in words is "fourteen billion, three hundred one million, one hundred thirty-one thousand, four hundred".