104343808838400 has 1296 divisors, whose sum is σ = 396479160709632. Its totient is φ = 26125811712000.

The previous prime is 104343808838383. The next prime is 104343808838407. The reversal of 104343808838400 is 4838808343401.

104343808838400 is a `hidden beast` number, since 1 + 0 + 43 + 43 + 80 + 8 + 83 + 8 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (104343808838407) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 22668650499 + ... + 22668655101.

Almost surely, 2^{104343808838400} is an apocalyptic number.

104343808838400 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 104343808838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198239580354816).

104343808838400 is an abundant number, since it is smaller than the sum of its proper divisors (292135351871232).

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

104343808838400 is a wasteful number, since it uses less digits than its factorization.

104343808838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 104343808838400 in words is "one hundred four trillion, three hundred forty-three billion, eight hundred eight million, eight hundred thirty-eight thousand, four hundred".