412263362214 has 192 divisors, whose sum is σ = 1011607092288. Its totient is φ = 120277094400.

The previous prime is 412263362209. The next prime is 412263362219.

412263362214 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 633 + 6 + 2 + 2 + 14 = 666.

412263362214 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (412263362209) and next prime (412263362219).

It is a super-2 number, since 2×412263362214² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412263362219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120790372 + ... + 120793784.

It is an arithmetic number, because the mean of its divisors is an integer number (5268786939).

Almost surely, 2^412263362214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412263362214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505803546144).

412263362214 is an abundant number, since it is smaller than the sum of its proper divisors (599343730074).

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

412263362214 is a wasteful number, since it uses less digits than its factorization.

412263362214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3700 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 412263 and 362214, that added together give a palindrome (774477).

The spelling of 412263362214 in words is "four hundred twelve billion, two hundred sixty-three million, three hundred sixty-two thousand, two hundred fourteen".