1684121336400 has 240 divisors, whose sum is σ = 5700623708160. Its totient is φ = 424134796800.

The previous prime is 1684121336369. The next prime is 1684121336441. The reversal of 1684121336400 is 46331214861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1794205 + ... + 2566595.

It is an arithmetic number, because the mean of its divisors is an integer number (23752598784).

Almost surely, 2^{1684121336400} is an apocalyptic number.

1684121336400 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 1684121336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850311854080).

1684121336400 is an abundant number, since it is smaller than the sum of its proper divisors (4016502371760).

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

1684121336400 is a wasteful number, since it uses less digits than its factorization.

1684121336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772514 (or 772503 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1684121336400 in words is "one trillion, six hundred eighty-four billion, one hundred twenty-one million, three hundred thirty-six thousand, four hundred".