341034140131776 has 1008 divisors, whose sum is σ = 1216007495539200. Its totient is φ = 89475657523200.

The previous prime is 341034140131747. The next prime is 341034140131813. The reversal of 341034140131776 is 677131041430143.

341034140131776 is a `hidden beast` number, since 3 + 4 + 103 + 41 + 401 + 31 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119619128751 + ... + 119619131601.

It is an arithmetic number, because the mean of its divisors is an integer number (1206356642400).

Almost surely, 2^{341034140131776} is an apocalyptic number.

341034140131776 is a gapful number since it is divisible by the number (36) 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 341034140131776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608003747769600).

341034140131776 is an abundant number, since it is smaller than the sum of its proper divisors (874973355407424).

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

341034140131776 is a wasteful number, since it uses less digits than its factorization.

341034140131776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 341034140131776 in words is "three hundred forty-one trillion, thirty-four billion, one hundred forty million, one hundred thirty-one thousand, seven hundred seventy-six".