341445331552000 has 288 divisors, whose sum is σ = 916102406943360. Its totient is φ = 126059743641600.

The previous prime is 341445331551997. The next prime is 341445331552007. The reversal of 341445331552000 is 255133544143.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341445331552007) 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 31 ways as a sum of consecutive naturals, for example, 4974909684 + ... + 4974978316.

It is an arithmetic number, because the mean of its divisors is an integer number (3180911135220).

Almost surely, 2^{341445331552000} 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 341445331552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458051203471680).

341445331552000 is an abundant number, since it is smaller than the sum of its proper divisors (574657075391360).

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

341445331552000 is a wasteful number, since it uses less digits than its factorization.

341445331552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80636 (or 80612 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 341445331552000 in words is "three hundred forty-one trillion, four hundred forty-five billion, three hundred thirty-one million, five hundred fifty-two thousand".