4012101416205 has 48 divisors (see below), whose sum is σ = 7003871746560. Its totient is φ = 2124585590400.

The previous prime is 4012101416201. The next prime is 4012101416209. The reversal of 4012101416205 is 5026141012104.

4012101416205 is a `hidden beast` number, since 4 + 0 + 1 + 21 + 0 + 14 + 1 + 620 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4012101416201) and next prime (4012101416209).

It is not a de Polignac number, because 4012101416205 - 2² = 4012101416201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012101416201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495556 + ... + 4499234.

It is an arithmetic number, because the mean of its divisors is an integer number (145913994720).

Almost surely, 2^{4012101416205} is an apocalyptic number.

4012101416205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4012101416205 is a deficient number, since it is larger than the sum of its proper divisors (2991770330355).

4012101416205 is a wasteful number, since it uses less digits than its factorization.

4012101416205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004322 (or 1004319 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 4012101416205 its reverse (5026141012104), we get a palindrome (9038242428309).

The spelling of 4012101416205 in words is "four trillion, twelve billion, one hundred one million, four hundred sixteen thousand, two hundred five".