341122728960 has 2112 divisors, whose sum is σ = 1487116350720. Its totient is φ = 71345111040.

The previous prime is 341122728949. The next prime is 341122729021. The reversal of 341122728960 is 69827221143.

341122728960 is a `hidden beast` number, since 3 + 411 + 227 + 2 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7933086699 + ... + 7933086741.

It is an arithmetic number, because the mean of its divisors is an integer number (704127060).

Almost surely, 2^341122728960 is an apocalyptic number.

341122728960 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 341122728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743558175360).

341122728960 is an abundant number, since it is smaller than the sum of its proper divisors (1145993621760).

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

341122728960 is a wasteful number, since it uses less digits than its factorization.

341122728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 341122728960 in words is "three hundred forty-one billion, one hundred twenty-two million, seven hundred twenty-eight thousand, nine hundred sixty".