341540107920 has 360 divisors, whose sum is σ = 1262545884600. Its totient is φ = 82680238080.

The previous prime is 341540107913. The next prime is 341540107957. The reversal of 341540107920 is 29701045143.

341540107920 is a `hidden beast` number, since 3 + 4 + 1 + 540 + 107 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 521482896 + 341018625024 = 22836^2 + 583968^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72220116 + ... + 72224844.

Almost surely, 2^341540107920 is an apocalyptic number.

341540107920 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 341540107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631272942300).

341540107920 is an abundant number, since it is smaller than the sum of its proper divisors (921005776680).

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

341540107920 is a wasteful number, since it uses less digits than its factorization.

341540107920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 341540107920 in words is "three hundred forty-one billion, five hundred forty million, one hundred seven thousand, nine hundred twenty".