14324242121400 has 192 divisors, whose sum is σ = 45638013801600. Its totient is φ = 3714527900160.

The previous prime is 14324242121347. The next prime is 14324242121417. The reversal of 14324242121400 is 412124242341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4633686 + ... + 7079514.

It is an arithmetic number, because the mean of its divisors is an integer number (237697988550).

Almost surely, 2^{14324242121400} is an apocalyptic number.

14324242121400 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 14324242121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22819006900800).

14324242121400 is an abundant number, since it is smaller than the sum of its proper divisors (31313771680200).

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

14324242121400 is a wasteful number, since it uses less digits than its factorization.

14324242121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446118 (or 2446109 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14324242121400 its reverse (412124242341), we get a palindrome (14736366363741).

The spelling of 14324242121400 in words is "fourteen trillion, three hundred twenty-four billion, two hundred forty-two million, one hundred twenty-one thousand, four hundred".