341881392288960 has 224 divisors, whose sum is σ = 1206138076416000. Its totient is φ = 91164100561920.

The previous prime is 341881392288937. The next prime is 341881392288971. The reversal of 341881392288960 is 69882293188143.

341881392288960 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 81 + 392 + 28 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185699355 + ... + 187531365.

It is an arithmetic number, because the mean of its divisors is an integer number (5384544984000).

Almost surely, 2^{341881392288960} is an apocalyptic number.

341881392288960 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 341881392288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603069038208000).

341881392288960 is an abundant number, since it is smaller than the sum of its proper divisors (864256684127040).

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

341881392288960 is a wasteful number, since it uses less digits than its factorization.

341881392288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853636 (or 1853620 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 341881392288960 in words is "three hundred forty-one trillion, eight hundred eighty-one billion, three hundred ninety-two million, two hundred eighty-eight thousand, nine hundred sixty".