341551102125200 has 360 divisors, whose sum is σ = 906427154693928. Its totient is φ = 123585960960000.

The previous prime is 341551102125173. The next prime is 341551102125217. The reversal of 341551102125200 is 2521201155143.

It can be written as a sum of positive squares in 12 ways, for example, as 18402589950976 + 323148512174224 = 4289824^2 + 17976332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9969076070 + ... + 9969110330.

Almost surely, 2^{341551102125200} 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 341551102125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453213577346964).

341551102125200 is an abundant number, since it is smaller than the sum of its proper divisors (564876052568728).

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

341551102125200 is a wasteful number, since it uses less digits than its factorization.

341551102125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35315 (or 35293 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 341551102125200 in words is "three hundred forty-one trillion, five hundred fifty-one billion, one hundred two million, one hundred twenty-five thousand, two hundred".