341333034303420 has 960 divisors, whose sum is σ = 1141719639984000. Its totient is φ = 85256292925440.

The previous prime is 341333034303341. The next prime is 341333034303421. The reversal of 341333034303420 is 24303430333143.

341333034303420 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 3 + 303 + 4 + 3 + 0 + 342 + 0 = 666.

It is a super-3 number, since 3×341333034303420³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341333034303421) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 41278631046 + ... + 41278639314.

It is an arithmetic number, because the mean of its divisors is an integer number (1189291291650).

Almost surely, 2^{341333034303420} is an apocalyptic number.

341333034303420 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 341333034303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570859819992000).

341333034303420 is an abundant number, since it is smaller than the sum of its proper divisors (800386605680580).

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

341333034303420 is a wasteful number, since it uses less digits than its factorization.

341333034303420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8620 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 341333034303420 its reverse (24303430333143), we get a palindrome (365636464636563).

The spelling of 341333034303420 in words is "three hundred forty-one trillion, three hundred thirty-three billion, thirty-four million, three hundred three thousand, four hundred twenty".