4134216935385 has 128 divisors (see below), whose sum is σ = 7656469954560. Its totient is φ = 2115180926208.

The previous prime is 4134216935383. The next prime is 4134216935419. The reversal of 4134216935385 is 5835396124314.

4134216935385 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 2 + 16 + 93 + 538 + 5 = 666.

It is not a de Polignac number, because 4134216935385 - 2¹ = 4134216935383 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4134216935383) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 66851739 + ... + 66913551.

It is an arithmetic number, because the mean of its divisors is an integer number (59816171520).

Almost surely, 2^{4134216935385} is an apocalyptic number.

4134216935385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4134216935385 is a deficient number, since it is larger than the sum of its proper divisors (3522253019175).

4134216935385 is a wasteful number, since it uses less digits than its factorization.

4134216935385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62084 (or 62078 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 4134216935385 in words is "four trillion, one hundred thirty-four billion, two hundred sixteen million, nine hundred thirty-five thousand, three hundred eighty-five".