14021332431400 has 192 divisors, whose sum is σ = 37538139905280. Its totient is φ = 4771014912000.

The previous prime is 14021332431389. The next prime is 14021332431413. The reversal of 14021332431400 is 413423312041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093445389 + ... + 1093458211.

It is an arithmetic number, because the mean of its divisors is an integer number (195511145340).

Almost surely, 2^{14021332431400} is an apocalyptic number.

14021332431400 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 14021332431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18769069952640).

14021332431400 is an abundant number, since it is smaller than the sum of its proper divisors (23516807473880).

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

14021332431400 is a wasteful number, since it uses less digits than its factorization.

14021332431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18684 (or 18675 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14021332431400 its reverse (413423312041), we get a palindrome (14434755743441).

The spelling of 14021332431400 in words is "fourteen trillion, twenty-one billion, three hundred thirty-two million, four hundred thirty-one thousand, four hundred".