210414040414012 has 48 divisors (see below), whose sum is σ = 370140340782240. Its totient is φ = 104660451088128.

The previous prime is 210414040413943. The next prime is 210414040414057.

210414040414012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210414040414012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8633067058 + ... + 8633091430.

It is an arithmetic number, because the mean of its divisors is an integer number (7711257099630).

Almost surely, 2^{210414040414012} is an apocalyptic number.

It is an amenable number.

210414040414012 is a deficient number, since it is larger than the sum of its proper divisors (159726300368228).

210414040414012 is a wasteful number, since it uses less digits than its factorization.

210414040414012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32062 (or 32060 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 210414040414012 in words is "two hundred ten trillion, four hundred fourteen billion, forty million, four hundred fourteen thousand, twelve".