341034144000 has 1152 divisors, whose sum is σ = 1327627252224. Its totient is φ = 77316096000.

The previous prime is 341034143993. The next prime is 341034144043. The reversal of 341034144000 is 441430143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2172191922 + ... + 2172192078.

It is an arithmetic number, because the mean of its divisors is an integer number (1152454212).

Almost surely, 2^341034144000 is an apocalyptic number.

341034144000 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 341034144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663813626112).

341034144000 is an abundant number, since it is smaller than the sum of its proper divisors (986593108224).

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

341034144000 is a wasteful number, since it uses less digits than its factorization.

341034144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 341034144000 its reverse (441430143), we get a palindrome (341475574143).

The spelling of 341034144000 in words is "three hundred forty-one billion, thirty-four million, one hundred forty-four thousand".