14314314431400 has 96 divisors (see below), whose sum is σ = 44374949806560. Its totient is φ = 3817101047040.

The previous prime is 14314314431369. The next prime is 14314314431401. The reversal of 14314314431400 is 413441341341.

It is not an unprimeable number, because it can be changed into a prime (14314314431401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88865334 + ... + 89026266.

It is an arithmetic number, because the mean of its divisors is an integer number (462239060485).

Almost surely, 2^{14314314431400} is an apocalyptic number.

14314314431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314314431400 is an abundant number, since it is smaller than the sum of its proper divisors (30060635375160).

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

14314314431400 is a wasteful number, since it uses less digits than its factorization.

14314314431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309195 (or 309186 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 14314314431400 its reverse (413441341341), we get a palindrome (14727755772741).

The spelling of 14314314431400 in words is "fourteen trillion, three hundred fourteen billion, three hundred fourteen million, four hundred thirty-one thousand, four hundred".