34141414314420 has 96 divisors (see below), whose sum is σ = 121391695353600. Its totient is φ = 7803751842432.

The previous prime is 34141414314401. The next prime is 34141414314433. The reversal of 34141414314420 is 2441341414143.

34141414314420 is a `hidden beast` number, since 3 + 4 + 141 + 41 + 4 + 31 + 442 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4516056315 + ... + 4516063874.

It is an arithmetic number, because the mean of its divisors is an integer number (1264496826600).

Almost surely, 2^{34141414314420} is an apocalyptic number.

34141414314420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34141414314420 is an abundant number, since it is smaller than the sum of its proper divisors (87250281039180).

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

34141414314420 is a wasteful number, since it uses less digits than its factorization.

34141414314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032120214 (or 9032120206 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 34141414314420 its reverse (2441341414143), we get a palindrome (36582755728563).

The spelling of 34141414314420 in words is "thirty-four trillion, one hundred forty-one billion, four hundred fourteen million, three hundred fourteen thousand, four hundred twenty".