341122320268800 has 960 divisors, whose sum is σ = 1307540487052800. Its totient is φ = 76786237440000.

The previous prime is 341122320268759. The next prime is 341122320268823. The reversal of 341122320268800 is 8862023221143.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6004694796 + ... + 6004751604.

It is an arithmetic number, because the mean of its divisors is an integer number (1362021340680).

Almost surely, 2^{341122320268800} is an apocalyptic number.

341122320268800 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 341122320268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653770243526400).

341122320268800 is an abundant number, since it is smaller than the sum of its proper divisors (966418166784000).

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

341122320268800 is a wasteful number, since it uses less digits than its factorization.

341122320268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57187 (or 57166 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

Adding to 341122320268800 its reverse (8862023221143), we get a palindrome (349984343489943).

The spelling of 341122320268800 in words is "three hundred forty-one trillion, one hundred twenty-two billion, three hundred twenty million, two hundred sixty-eight thousand, eight hundred".