341057936424960 has 432 divisors, whose sum is σ = 1233735797889504. Its totient is φ = 86994453528576.

The previous prime is 341057936424913. The next prime is 341057936425027. The reversal of 341057936424960 is 69424639750143.

It is a happy number.

341057936424960 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 5 + 79 + 36 + 42 + 496 + 0 = 666.

It is a super-2 number, since 2×341057936424960² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134402484 + ... + 136916556.

It is an arithmetic number, because the mean of its divisors is an integer number (2855869902522).

Almost surely, 2^{341057936424960} is an apocalyptic number.

341057936424960 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 341057936424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616867898944752).

341057936424960 is an abundant number, since it is smaller than the sum of its proper divisors (892677861464544).

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

341057936424960 is an equidigital number, since it uses as much as digits as its factorization.

341057936424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514141 (or 2514106 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 341057936424960 in words is "three hundred forty-one trillion, fifty-seven billion, nine hundred thirty-six million, four hundred twenty-four thousand, nine hundred sixty".