14121405162800 has 480 divisors, whose sum is σ = 38250311823360. Its totient is φ = 4974512025600.

The previous prime is 14121405162779. The next prime is 14121405162817. The reversal of 14121405162800 is 826150412141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9057988421 + ... + 9057989979.

It is an arithmetic number, because the mean of its divisors is an integer number (79688149632).

Almost surely, 2^{14121405162800} is an apocalyptic number.

14121405162800 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 14121405162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125155911680).

14121405162800 is an abundant number, since it is smaller than the sum of its proper divisors (24128906660560).

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

14121405162800 is a wasteful number, since it uses less digits than its factorization.

14121405162800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

Adding to 14121405162800 its reverse (826150412141), we get a palindrome (14947555574941).

The spelling of 14121405162800 in words is "fourteen trillion, one hundred twenty-one billion, four hundred five million, one hundred sixty-two thousand, eight hundred".