341406058629120 has 1536 divisors, whose sum is σ = 1163248338470400. Its totient is φ = 85385828892672.

The previous prime is 341406058629109. The next prime is 341406058629197. The reversal of 341406058629120 is 21926850604143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 834733639476 + ... + 834733639884.

It is an arithmetic number, because the mean of its divisors is an integer number (757323137025).

Almost surely, 2^{341406058629120} is an apocalyptic number.

341406058629120 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 341406058629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581624169235200).

341406058629120 is an abundant number, since it is smaller than the sum of its proper divisors (821842279841280).

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

341406058629120 is a wasteful number, since it uses less digits than its factorization.

341406058629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 341406058629120 in words is "three hundred forty-one trillion, four hundred six billion, fifty-eight million, six hundred twenty-nine thousand, one hundred twenty".