412421101124214 has 256 divisors, whose sum is σ = 1040540981114880. Its totient is φ = 106087637053440.

The previous prime is 412421101124177. The next prime is 412421101124231.

It is a happy number.

412421101124214 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 127 ways as a sum of consecutive naturals, for example, 2183680074 + ... + 2183868930.

It is an arithmetic number, because the mean of its divisors is an integer number (4064613207480).

Almost surely, 2^{412421101124214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412421101124214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520270490557440).

412421101124214 is an abundant number, since it is smaller than the sum of its proper divisors (628119879990666).

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

412421101124214 is a wasteful number, since it uses less digits than its factorization.

412421101124214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189495.

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

It can be divided in two parts, 41242110 and 1124214, that added together give a palindrome (42366324).

The spelling of 412421101124214 in words is "four hundred twelve trillion, four hundred twenty-one billion, one hundred one million, one hundred twenty-four thousand, two hundred fourteen".