414206003424312 has 192 divisors, whose sum is σ = 1224856614159360. Its totient is φ = 125407642464000.

The previous prime is 414206003424307. The next prime is 414206003424379. The reversal of 414206003424312 is 213424300602414.

414206003424312 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 0 + 600 + 3 + 4 + 2 + 43 + 1 + 2 = 666.

It is a super-2 number, since 2×414206003424312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16369825053 + ... + 16369850355.

It is an arithmetic number, because the mean of its divisors is an integer number (6379461532080).

Almost surely, 2^{414206003424312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414206003424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612428307079680).

414206003424312 is an abundant number, since it is smaller than the sum of its proper divisors (810650610735048).

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

414206003424312 is a wasteful number, since it uses less digits than its factorization.

414206003424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42514 (or 42507 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 414206003424312 in words is "four hundred fourteen trillion, two hundred six billion, three million, four hundred twenty-four thousand, three hundred twelve".