341070350775120 has 480 divisors, whose sum is σ = 1169729157542400. Its totient is φ = 89045136875520.

The previous prime is 341070350775103. The next prime is 341070350775131. The reversal of 341070350775120 is 21577053070143.

341070350775120 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 70 + 3 + 507 + 7 + 51 + 20 = 666.

It is a super-2 number, since 2×341070350775120² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3837683004 + ... + 3837771876.

It is an arithmetic number, because the mean of its divisors is an integer number (2436935744880).

Almost surely, 2^{341070350775120} is an apocalyptic number.

341070350775120 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 341070350775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584864578771200).

341070350775120 is an abundant number, since it is smaller than the sum of its proper divisors (828658806767280).

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

341070350775120 is a wasteful number, since it uses less digits than its factorization.

341070350775120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89555 (or 89546 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 341070350775120 in words is "three hundred forty-one trillion, seventy billion, three hundred fifty million, seven hundred seventy-five thousand, one hundred twenty".