14335050400000 has 216 divisors, whose sum is σ = 39016760142528. Its totient is φ = 5212742400000.

The previous prime is 14335050399913. The next prime is 14335050400009. The reversal of 14335050400000 is 405053341.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14335050400009) 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, 7985509 + ... + 9614491.

It is an arithmetic number, because the mean of its divisors is an integer number (180633148808).

Almost surely, 2^{14335050400000} is an apocalyptic number.

14335050400000 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 14335050400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19508380071264).

14335050400000 is an abundant number, since it is smaller than the sum of its proper divisors (24681709742528).

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

14335050400000 is an frugal number, since it uses more digits than its factorization.

14335050400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629035 (or 1629001 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 14335050400000 its reverse (405053341), we get a palindrome (14335455453341).

The spelling of 14335050400000 in words is "fourteen trillion, three hundred thirty-five billion, fifty million, four hundred thousand".