341121891801600 has 7680 divisors, whose sum is σ = 1664337208934400. Its totient is φ = 66518168371200.

The previous prime is 341121891801577. The next prime is 341121891801617. The reversal of 341121891801600 is 6108198121143.

341121891801600 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 21 + 8 + 9 + 18 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 767 ways as a sum of consecutive naturals, for example, 3311863027149 + ... + 3311863027251.

It is an arithmetic number, because the mean of its divisors is an integer number (216710574080).

Almost surely, 2^{341121891801600} is an apocalyptic number.

341121891801600 is a gapful number since it is divisible by the number (30) 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 341121891801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832168604467200).

341121891801600 is an abundant number, since it is smaller than the sum of its proper divisors (1323215317132800).

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

341121891801600 is a wasteful number, since it uses less digits than its factorization.

341121891801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 341121891801600 in words is "three hundred forty-one trillion, one hundred twenty-one billion, eight hundred ninety-one million, eight hundred one thousand, six hundred".