341412020000000 has 576 divisors, whose sum is σ = 914738758262784. Its totient is φ = 126712320000000.

The previous prime is 341412019999997. The next prime is 341412020000011. The reversal of 341412020000000 is 20214143.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24139992929 + ... + 24140007071.

It is an arithmetic number, because the mean of its divisors is an integer number (1588088121984).

Almost surely, 2^{341412020000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341412020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457369379131392).

341412020000000 is an abundant number, since it is smaller than the sum of its proper divisors (573326738262784).

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

341412020000000 is an frugal number, since it uses more digits than its factorization.

341412020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14282 (or 14238 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 341412020000000 its reverse (20214143), we get a palindrome (341412040214143).

The spelling of 341412020000000 in words is "three hundred forty-one trillion, four hundred twelve billion, twenty million", and thus it is an aban number.