412114202411214 has 128 divisors (see below), whose sum is σ = 921428971868160. Its totient is φ = 122288393779200.

The previous prime is 412114202411189. The next prime is 412114202411269.

It is a happy number.

412114202411214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25890024 + ... + 38659044.

It is an arithmetic number, because the mean of its divisors is an integer number (7198663842720).

Almost surely, 2^{412114202411214} is an apocalyptic number.

412114202411214 is an abundant number, since it is smaller than the sum of its proper divisors (509314769456946).

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

412114202411214 is a wasteful number, since it uses less digits than its factorization.

412114202411214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769306.

The product of its (nonzero) digits is 4096, while the sum is 30.

It can be divided in two parts, 41211420 and 2411214, that added together give a palindrome (43622634).

The spelling of 412114202411214 in words is "four hundred twelve trillion, one hundred fourteen billion, two hundred two million, four hundred eleven thousand, two hundred fourteen".