14038121606400 has 1296 divisors, whose sum is σ = 56129757465600. Its totient is φ = 3326465802240.

The previous prime is 14038121606371. The next prime is 14038121606473. The reversal of 14038121606400 is 460612183041.

14038121606400 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 8 + 1 + 2 + 1 + 6 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6269816481 + ... + 6269818719.

Almost surely, 2^{14038121606400} is an apocalyptic number.

14038121606400 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 14038121606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28064878732800).

14038121606400 is an abundant number, since it is smaller than the sum of its proper divisors (42091635859200).

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

14038121606400 is a wasteful number, since it uses less digits than its factorization.

14038121606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 14038121606400 its reverse (460612183041), we get a palindrome (14498733789441).

The spelling of 14038121606400 in words is "fourteen trillion, thirty-eight billion, one hundred twenty-one million, six hundred six thousand, four hundred".