341410418856 has 256 divisors, whose sum is σ = 1058823360000. Its totient is φ = 101206941696.

The previous prime is 341410418849. The next prime is 341410418863. The reversal of 341410418856 is 658814014143.

341410418856 is a `hidden beast` number, since 3 + 4 + 1 + 410 + 4 + 188 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (341410418849) and next prime (341410418863).

It is a super-2 number, since 2×341410418856² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39653080 + ... + 39661688.

It is an arithmetic number, because the mean of its divisors is an integer number (4136028750).

Almost surely, 2^341410418856 is an apocalyptic number.

341410418856 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 341410418856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529411680000).

341410418856 is an abundant number, since it is smaller than the sum of its proper divisors (717412941144).

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

341410418856 is a wasteful number, since it uses less digits than its factorization.

341410418856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9153 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 341410418856 in words is "three hundred forty-one billion, four hundred ten million, four hundred eighteen thousand, eight hundred fifty-six".