14414004331300 has 108 divisors (see below), whose sum is σ = 36459175307184. Its totient is φ = 4931878459200.

The previous prime is 14414004331261. The next prime is 14414004331313. The reversal of 14414004331300 is 313340041441.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 589654 + ... + 5401453.

It is an arithmetic number, because the mean of its divisors is an integer number (337584956548).

Almost surely, 2^{14414004331300} is an apocalyptic number.

14414004331300 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 14414004331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229587653592).

14414004331300 is an abundant number, since it is smaller than the sum of its proper divisors (22045170975884).

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

14414004331300 is a wasteful number, since it uses less digits than its factorization.

14414004331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991626 (or 5991612 counting only the distinct ones).

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

Adding to 14414004331300 its reverse (313340041441), we get a palindrome (14727344372741).

The spelling of 14414004331300 in words is "fourteen trillion, four hundred fourteen billion, four million, three hundred thirty-one thousand, three hundred".