341195361120 has 576 divisors, whose sum is σ = 1305105721920. Its totient is φ = 80750444544.

The previous prime is 341195361107. The next prime is 341195361167. The reversal of 341195361120 is 21163591143.

341195361120 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 9 + 536 + 112 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 30520972 + ... + 30532148.

It is an arithmetic number, because the mean of its divisors is an integer number (2265808545).

Almost surely, 2^341195361120 is an apocalyptic number.

341195361120 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 341195361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652552860960).

341195361120 is an abundant number, since it is smaller than the sum of its proper divisors (963910360800).

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

341195361120 is a wasteful number, since it uses less digits than its factorization.

341195361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11287 (or 11276 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 341195361120 in words is "three hundred forty-one billion, one hundred ninety-five million, three hundred sixty-one thousand, one hundred twenty".