341378755448960 has 128 divisors (see below), whose sum is σ = 827335199277360. Its totient is φ = 134673275289600.

The previous prime is 341378755448959. The next prime is 341378755449007. The reversal of 341378755448960 is 69844557873143.

It can be written as a sum of positive squares in 8 ways, for example, as 84782696893504 + 256596058555456 = 9207752^2 + 16018616^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (74) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859496174 + ... + 859893266.

Almost surely, 2^{341378755448960} 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 341378755448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413667599638680).

341378755448960 is an abundant number, since it is smaller than the sum of its proper divisors (485956443828400).

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

341378755448960 is a wasteful number, since it uses less digits than its factorization.

341378755448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415586 (or 415574 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 74.

The spelling of 341378755448960 in words is "three hundred forty-one trillion, three hundred seventy-eight billion, seven hundred fifty-five million, four hundred forty-eight thousand, nine hundred sixty".