14141440311400 has 48 divisors (see below), whose sum is σ = 32913938646540. Its totient is φ = 5650539148800.

The previous prime is 14141440311379. The next prime is 14141440311419. The reversal of 14141440311400 is 411304414141.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1693428537124 + 12448011774276 = 1301318^2 + 3528174^2 .

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, 37543231 + ... + 37918030.

Almost surely, 2^{14141440311400} is an apocalyptic number.

14141440311400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141440311400 is an abundant number, since it is smaller than the sum of its proper divisors (18772498335140).

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

14141440311400 is a wasteful number, since it uses less digits than its factorization.

14141440311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75462214 (or 75462205 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14141440311400 its reverse (411304414141), we get a palindrome (14552744725541).

The spelling of 14141440311400 in words is "fourteen trillion, one hundred forty-one billion, four hundred forty million, three hundred eleven thousand, four hundred".